Current Problems in Theoretical Physics

Current Problems in
Theoretical Physics
28 – 31 March 2015
Lloyd’s Baia Hotel
Vietri sul Mare (SA)
Scientific Committee
C.M. Becchi (Genova), L. Bonora (SISSA, Trieste), S. Capozziello (Napoli), M. Carfora (Pavia), V.
Ferrari (Roma), F. Lizzi (Napoli), G. Marmo (Napoli), S. Pascazio (Bari).
Organizing Committee
G. Lambiase, G. Marmo, L. Parisi, N. Radicella, G. Sparano, P. Vitale.
Organization
Dipartimento di Fisica, Università di Napoli “Federico II”
Dipartimento di Fisica “E.R. Caianiello”, Università di Salerno
Sponsored
Università degli Studi di Salerno
Istituto Nazionale di Fisica Nucleare
Dipartimento di Fisica, Università di Napoli “Federico II”
Program
Integrability and Nonlinearity in field theory
In honour of Gaetano Vilasi 70th birthday
Saturday 28 March - Chair M. Gasperini / M. Man’ko
09:00 - 09:30
Registration
09:30 - 10.15
H. Yamamoto
10:15 - 11:00
11:00 - 11:30
J. Grabowski
Coffee Break
11:30 - 12:15
A. Ianovsky
12:15 - 13:00
V. S. Gerdjikov
13:00 - 15:00
Lunch
15:00 - 15:45
D. Yoshioka
Star product and Weyl manifold
15:45 - 16:30
A. Vinogradov
The chemistry of simply assembled from lieons Lie algebras
16:30 - 17:00
Coffee Break
17:00 - 17:45
G. Landi
Sigma-model solitons on noncommutative spaces
17:45 - 18:30
S. Pascazio
Quantum Zeno Dynamics and Quantum Zeno Subspaces
18:30 - 19:00
M. Salerno
Compacton Matter Wave Induced by Time Dependent Interactions
Advanced LIGO : Aiming for the detection of the gravitational wave signal,
and beyond
Tulczyjew triples in the dynamics of strings
Geometric theory of the Generating Operators associated with linear
problems of Caudrey-Beals-Coifman type in canonical and in pole gauge
with and without reductions
Integrable equations and recursion operators related to the affine Lie
algebras
Sunday 29 March - Chair M. Gasperini / V. Man’ko
09:30 - 10:15
F. Magri
Le equazioni WDVV
10:15 - 11:00
L. Bonora
Teorie conformi e anomalie di traccia
11:00 - 11:30
Coffee Break
11:30 - 12:15
V. Ferrari
Black holes have no hair: what about neutron stars?
12:15 - 13:00
S. Capozziello
Hydrostatic equilibrium and stellar structure in Extended Theories of
Gravity
13:00 - 15:00
Lunch
15:00 - 15:45
I. Ciufolini
General Relativity, Fundamental Physics and the LARES Space Experiment
15:45 - 16:30
M. Carfora
Heat kernel embedding, non-linear sigma models and Ricci flow extensions
16:30 - 17:00
Coffee Break
17:00 - 17:45
F. Canfora
Generalized hedgehog and Non-linear composition law for Skyrmions in 4
dimensions
17:45 -18:15
L. Martina
Exact solutions of the relativistic Skyrme-Faddeev model
GeoSymQFT (Geometry, Symmetry and
Quantum Field Theory)
Monday 30 March - Chair V. Gerdjikov / F. Canfora
09:20 – 09:30
Opening
09:30 – 10:20
E. Gozzi
10.20 – 11:10
A. Quadri
11:10 – 11:30
Coffee break
11:30 – 12:20
F. D'Andrea
12:20 – 13:10
M. Blasone
13:10 – 14:50
Lunch
14:50 – 15:40
F. Corberi
Condensation of large fluctuations in a thermodynamical system.
15:40 – 16:10
F. Dell'Anno
Entanglement in neutrino oscillations
16:10 – 16:30
Coffee Break
16:30 – 17:20
P. Christillin
Particle creation in our expanding black hole Universe
17:20 – 18:10
R. Giachetti
Bound states of two relativistic fermions
18:10 -
Discussion
Are there problems for large value of the action like there were for small
ones?
The Background Field Method as a Canonical Transformation
The Standard Model in Noncommutative Geometry and Morita
equivalence
Dynamical generation of fermion mixing
Tuesday 31 March - Chair V. Gerdjikov / F. Canfora
9:30 – 10:20
C. Dappiaggi
Remarks on the Casimir effect from the point of view of algebraic
quantum field theory
10:20 – 11:10
M. Cianciaruso
Measures and applications of quantum correlations
11:10 – 11:30
Coffee break
11:30 – 12:20
A. Marzuoli
Quadratic operator algebras and recursive quantum languages
12:20 – 13:10
M. Tarlini
Integrability on compact hermitian symmetric spaces
13:10 – 13:30
Conclusion workshop
13:30
Lunch
Abstract
Integrability and Nonlinearity in field theory
Saturday 28
H. Yamamoto
California Institute of Technology, USA
Advanced LIGO : Aiming for the detection of the gravitational wave signal, and beyond
The ground-based gravitational wave detection project in the United States, LIGO (Laser
Interferometer Gravitational-Wave Observatory) has almost completed the major upgrade of the initial
detector which operated until 2010. With this upgrade, the event rate is designed to increase by factor
1000, and operations aiming for detection are scheduled to start from this fall.
In this talk, the opt-mechanical technologies used in the advanced LIGO interferometers are explained
and the status and schedule of the detector are outlined.
In order to study the details of the astronomy, discussions for the enhancement of the LIGO detector
have already started. These ideas, using the current infrastructure and beyond, are introduced.
J. Grabowski
Institute of Mathematics, Polish Academy of Sciences
Tulczyjew triples in the dynamics of strings
The Lagrangian description of mechanical systems and the Legendre Transformation (considered as a
passage from the Lagrangian to the Hamiltonian formulation of the dynamics) for point-like objects,
for which the infinitesimal configuration space is TQ, is based on the existence of canonical
symplectic isomorphisms of double vector bundles T T*Q, T* T* Q and T* T Q. We show that there
exist an analogous picture in the dynamics of objects for which the configuration space is
TQ, if
we make use of certain graded bundles, objects generalizing vector bundles. Dynamics of strings and
the Plateau problem in statics are particular cases of this framework.
A. Ianovsky
University of Cape Town
Geometric theory of the Generating Operators associated with linear problems of
Caudrey-Beals Coifman type in canonical and in pole gauge with and without reductions
We shall discuss some recent developments of the geometric theory of the Recursion Operators for
Caudrey-Beals-Coifman systems on semisimple Lie al- gebras. As well known the essence of this
interpretation is that the the Recursion Operators could be considered as adjoints to Nijenhuis tensors
on certain infi- nite dimensional manifolds. In particular, we discuss the case when there are Zp
reductions of Mikhailov type and we give some concrete systems as examples.
Integrability and Nonlinearity in field theory
V. S. Gerdjikov
Institute for Nuclear Research and Nuclear Energy
Integrable equations and recursion operators related to the affine Lie algebras
We have derived a family of mKdV-type equations related to the affine Lie algebras g using a Coxeter
Zh-reduction where h is the Coxeter number of g. Each of these systems of equations is Hamiltonian.
For the algebra sl(r + 1) it reads:
In particular for g
, i.e. r=4 we obtain
where
We also derive the recursion operators and demonstrate their Hamiltonian hierarchies.
D. Yoshioka
Tokyo University of Science
Star product and Weyl manifold
Deformation quantization is deforming a usual product for functions on a manifold to be an
associative product by means of power series of a deformation parameter. When a manifold is
symplectic, the deformation quantization can be given a geometric picture such as a Weyl algebra
bundle with certain sections corresponding to functions on the manifold. From a Weyl manifold, we
can obtain a deformation quantization.
In this talk we review and discuss a Weyl manifold over a symplectic manifold.
A. Vinogradov
Diffiety Institute Moscow and Levi Civita Institute
The chemistry of simply assembled from lieons Lie algebras
Abstract: As is well-known, Lie algebras naturally appear as symmetry algebras of various physical
systems. The idea that a compund structure of a physical system should be reflected in the structure of
Integrability and Nonlinearity in field theory
its symmetries algebra was confirmed by a recent author's theorem that tells that any finitedimensional Lie algebra can be assembled from two lieons. In the world of Lie algebras lieons play
the same role as quarks and leptons in the theory of elementary particles. Assemblage of Lie algebras
from lieons is a multi-step procedure based on the notion of compatible Poisson structures. In the talk
all necessary facts of this theory will be briefly discussed and then will be exactly described Lie
algebras that can be assembled in one step from lieons. A big bulk of speculations is planned too.
G. Landi
Università degli Studi di Trieste e INFN Sezione di Trieste
Sigma-model solitons on noncommutative spaces
We use results from time-frequency analysis and Gabor analysis to construct new classes of sigmamodelsolitons over the Moyal plane and over noncommutative tori, taken as source spaces, with a
target space made of two points. A natural action functional leads to self-duality equations for
projections in the source algebra. Solutions, having non-trivial topological content, are constructed via
suitable Morita duality bimodules.
S. Pascazio
Dipartimento di Fisica, Università di Bari e INFN Sezione di Bari
Quantum Zeno Dynamics and Quantum Zeno Subspaces
We analyze the quantum Zeno effect that arises for frequent projections onto a multi-dimensional
subspace. Under such conditions, the system remains in the “Zeno subspace” defined by the
measurement, undergoing a "quantum Zeno dynamics" with very interesting features.
Some significant examples will be proposed and their practical relevance discussed. We comment on
the control of decoherence, irreversibility and the drawbacks due to the inverse Zeno effect.
We focus on three recent experiments performed in Paris and Florence. We discuss promising
methods for tailoring nonclassical states.
M. Salerno
Dipartimento di Fisica, Università degli Studi di Salerno
Compacton Matter Waves Induced by Time Dependent Interactions
Compacton matter waves in Bose-Einstein condensates (BEC) trapped in deep optical lattices in the
presence of strong and rapid periodic time modulations of the atomic scattering length, are
presented. Contrary to ordinary solitons, the amplitude of a compacton reduces exactly to zero
outside the localizing domain, this implying the total suppression of the inter-well tunneling at the
compacton edges. Existence and stability of matter wave compactons will be discussed both for single
component BEC and for binary BEC mixtures. Besides BEC, results apply also to light propagation in
optical waveguide arrays with Kerr nonlinearity periodically modulated along the propagation
distance.
Integrability and Nonlinearity in field theory
Sunday 29
F. Magri
Università degli Studi di Milano – Bicocca
Le equazioni WDVV
The WDVV equations are a system of third-order nonlinear PDEs which has been discovered in the
setting of Topological Field Theories. An interpretation of these equations has been proposed by Boris
Dubrovin, in the middle of the 90's, through the concept of Frobenius manifold. In the talk, my
purpose is to tersely review the classical approach by Dubrovin, emphasizing at the same time an
alternative interpretation of the WDVV equations in terms of the concept of “ Lenard chains” , wellknown inside the theory of integrable systems.
L. Bonora
SISSA Trieste
Teorie conformi e anomalie di traccia
In this talk I will show that field theories of massless chiral fermions with a net unbalance of chirality
are affected by a parity violating trace anomaly. I will discuss the possible physical consequences of
this anomaly.
V. Ferrari
Sapienza Università di Roma
Black holes have no hair: what about neutron stars?
It is known that black holes have no hair, which means that they are fully described by only three
parameters: mass, spin and charge. Conversely, a neutron star may have a very rich multipole
structure, and all information about this structure is supposed to be radiated away during the
gravitational collapse. However, the transition from a fully hairy star to a bald black hole may not be
so sharp. In recent years some relations among the moment of inertia, the quadrupole moment and the
tidal deformability of neutron stars have been shown to exist, which are approximately independent of
the equation of state. We will discuss the origin of these relations, which considerably reduce the
number of parameters characterizing a neutron star, their range of validity, and provide examples of
how they could be used.
S. Capozziello
Dipartimento di Fisica, Università degli Studi di Napoli “Federico II” e INFN Sezione di Napoli
Hydrostatic equilibrium and stellar structure in Extended Theories of Gravity.
We investigate the hydrostatic equilibrium of stellar structure by taking into account the modified
Lane'-Emden equation coming out from f(R)-gravity. Such an equation is obtained in metric approach
by considering the Newtonian limit of f(R)-gravity, which gives rise to a modified Poisson equation,
and then introducing a relation between pressure and density with polytropic index n. The modified
Integrability and Nonlinearity in field theory
equation results an integro-differential equation, which, in the limit of General Relativity becomes the
standard Lane'-Emden equation. We find the radial profiles of gravitational potential by solving for
some values of n. The comparison of solutions with those coming from General Relativity shows that
they are compatible and physically relevant. This analysis gives rise to unstable modes not present in
the standard Jeans analysis (derived assuming Newtonian gravity as weak filed limit of f(R)=R). In
this perspective, we discuss several self-gravitating astrophysical systems whose dynamics could be
fully addressed in the framework of f(R)-gravity.
I. Ciufolini
Università degli Studi del Salento
General Relativity, Fundamental Physics and the LARES Space Experiment
Space experiments have been extensively used to test Einstein’s theory of General Relativity
andfundamental physics. Here we present the tests of dragging of inertial frames and of
stringtheories obtained with the LAGEOS and LARES satellites.
Dragging of inertial frames, or frame-dragging, is an intriguing and fascinating phenomenon predicted
by Einstein’s theory of General Relativity with relevant astrophysical effects in the vicinities of rotating
black holes.
Limits on string theories, of Chern–Simons type, have been set by using the current measurements of
frame-dragging with the LAGEOS and LAGEOS 2 satellites, and will be set using the future
improvement of these limits with the LARES satellite.
We briefly review the previous experimental tests of frame-dragging which were obtained using the
LAGEOS satellites and with the dedicated Gravity Probe B space mission which reported an accuracy
of about 10% and 19% in their measurements in 2004–2011 and 2011, respectively.
Finally we describe the space mission and the LARES satellite designed to minimize the orbital effects
of non-gravitational perturbations. The first few months of LARES observations and orbital analyses
confirmed that, due to its special design, the orbit of LARES is closer to the theoretical motion of a test
particle predicted by General Relativity, i.e. geodesic motion, than that of any other satellite. We also
briefly report the results of extensive error analyses and of one hundred Monte Carlo simulations
confirming an error budget of approximately 1% in the forthcoming test of frame-dragging with the
LARES space experiment.
M. Carfora
Università di Pavia
Heat kernel embedding, non-linear sigma models and Ricci flow extensions
Non linear sigma models are quantum field theories describing, in the large deviations sense, random
fluctuations of harmonic maps between a Riemann surface and a Riemannian manifold. Via their
formal renormalization group analysis, they provide a framework for possible generalizations of the
Hamilton-Perelman Ricci flow.
By exploiting the heat kernel embedding introduced by N. Gigli and C. Mantegazza, we provide a
rigorous model for the embedding of Ricci flow into the renormalization group flow for non linear
sigma models. This embedding characterizes a non-trivial generalization of the Hamilton--Perelman
version of the Ricci flow.
Integrability and Nonlinearity in field theory
F. Canfora
CECS Valdivia Cile
Generalized hedgehog and Non-linear composition law for Skyrmions in 4 dimensions
In this talk it is shown how to generalize the so-called hedgehog ansatz for the SU(2) Skyrme model in
four dimensions in such a way to both construct the first exact multi-solitonic solutions of the model
and to disclose the appearance of a non-linear superposition law. The generalization to the SU(N)
case is also shortly discussed.
L. Martina
Dip. Matematica e Fisica - Università del Salento
Exact solutions of the relativistic Skyrme-Faddeev model
The Skyrme-Faddeev model admits exact analytical non localized solutions, which describe magnetic
domain wall solutions when multivalued singularities appear or, differently, always regular periodic
nonlinear waves, which may degenerate into linear spin waves or solitonic structures. Here both
classes of solutions are derived and discussed and a general discusssion about the existence of
integrable subsectors of the model is addressed.
GeoSymQFT (Geometry, Symmetry and Quantum Field Theory)
Monday 30
E. Gozzi
Dept. of Physics. Theoretical Section, University of Trieste
Are there problems for large value of the action like there were for small ones?
In this talk we will give a brief l review of the Koopmann von Neuman operatorial formalism for
classical mechanics and of its modern path-integral counterpart. In this framework the procedure of
dequantization, i.e.going from Quantum Mechanics to Classical Mechanics, can be re-interpreted
using "renormalization group like" methods in which the analogue of the beta function is zero while
the gamma function is not zero. Classical Mechanics may not be an infrared stable fixed point of this
gamma function. That point could be the correct mechanics at large phase-space scale.
A. Quadri
INFN, Sez. di Milano
The Background Field Method as a Canonical Transformation
We show that the Background Field Method (BFM) can be implemented through a (backgrounddependent) canonical transformation with respect to the Batalin-Vilkovisky bracket of the theory. This
paves the way to a non-perturbative implementation of the BFM. Some novel applications in the
context of the effective field theory description of the Color Glass Condensate and to the study of the
IR properties of the gluon and ghost propagators are considered.
F. D’Andrea
Università di Napoli Federico II
The Standard Model in Noncommutative Geometry and Morita equivalence
After a brief review of the spectral action approach to the Standard Model of particle physics, I will
discuss some properties of the finite-dimensional spectral triple (A,H,D) describing the internal
degrees of freedom of elementary particles. Vectors in the Hilbert spaces H can be interpreted as
spinors on a finite "non-commutative manifold" if they satisfy a mathematical condition that can be
rigorously formulated in term of Morita equivalence. I will illustrate some consequences of this
condition: in particular, such aconstrain imposes the presence in the action functional of two
additional terms, one mixing leptons with quarks. The latter term is also necessary in order to have an
irreducible spectral triple.
GeoSymQFT (Geometry, Symmetry and Quantum Field Theory)
M. Blasone
Università degli Studi di Salerno e INFN Sezione di Napoli
Dynamical generation of fermion mixing
We present a dynamical mechanism à la Nambu-Jona-Lasinio for the generation of masses and mixing
for two interacting fermion fields. The analysis is carried out in a framework in which mass
generation is achieved via inequivalent representations, and that we generalize to the case of two
generations. The method allows a clear identification of the vacuum structure for each physical phase,
confirming previous results about the distinct physical nature of the vacuum for fields with definite
mass and fields with definite flavor.
F. Dell’Anno
Università degli Studi di Salerno
Entanglement in neutrino oscillations
I will review recent results on the study of the entanglement properties of oscillating neutrinos, and
discuss the possibility to use neutrinos as a resource for quantum information. I will also discuss the
extension of these results to the relativistic case, in the context of quantum field theory.
P. Christillin
Dipartimento di Fisica, Università degli Studi di Pisa
Particle creation in our expanding black hole Universe
Hubble’s law proves that the Universe is undergoing free expansion i.e. without external work. Thus
the post big bang temperature decrease must be due to particle creation, if energy conservation
applies at every scale. This scenario is further backed up by the consideration of the black body self
energy of the early dominated radiation era. That seems to provide an alternative consistent scheme
for our picture of the Universe evolution.
R. Giachetti
Università degli Studi di Firenze
Bound states of two relativistic fermions
We present the results we have obtained so far for atoms hydrogenoid and mesons in the model of
quarkonium, indicating our perspectives and the goals we would like to achieve.
GeoSymQFT (Geometry, Symmetry and Quantum Field Theory)
Tuesday 31
C. Dappiaggi
Dipartimento di Fisica, Università degli Studi di Pavia
Remarks on the Casimir effect from the point of view of algebraic quantum field theory
We consider a real scalar field in two scenarios, often associated to the Casimir effect, namely a
region of Minkowski spacetime whose boundary is either one or two parallel plates, orthogonal to a
spacelike direction. We discuss how to associate to these two systems an algebra of observables and a
quantum state. We discuss in particular under which conditions a state is physically acceptable.
Eventually we use our results to introduce the notion of Wick polynomials, constructing explicitly the
two-pointfunction and the regularized energy density, showing, moreover, that the outcome is
consistent with the standard results of the Casimir effect.
Joint work with Gabriele Nosari and Nicola Pinamonti, ArXiv:1412.1409 [math-ph].
M. Cianciaruso
Università degli Studi di Salerno e INFN Sezione di Napoli
Measures and applications of quantum correlations
Quantum information theory is built upon the realisation that quantum resources such as coherence
and entanglement can be exploited for novel or enhanced ways of processing, encoding and
manipulating information, such as quantum cryptography, teleportation, and quantum computing. We
now know that there is potentially much more beyond entanglement behind the power of quantum
machines. There are more general forms of quantum correlations, that have been identified in almost
all quantum states, that can manifest extreme resilience to decoherence, and have been linked to the
advantage of certain quantum protocols over classical ones in the presence of noise. Their
manifestation represents, among other things, a signature that quantumness extends far beyond the
microworld. In this talk we give an overview of the current quest for a proper understanding and
characterisation of the border between classical and quantum correlations in composite systems. We
focus in particular on various approaches to quantify correlations of the discord type and comment on
their operational significance for quantum technology tasks such as information encoding, decoding,
transmission and metrology. We then
provide a broader outlook of the different applications in which quantumness beyond entanglement
looks fit to play a key role.
A. Marzuoli
Università di Pavia
Quadratic operator algebras and recursive quantum languages
The Racah-Wigner algebra of the quantum theory of angular momentum (and its q-deformed
analogues at q=root of unity) provides the frame for a unified formulation of automaton models and
universal Turing machine. The argument is based on the analysis of the eigenvalue problem for
GeoSymQFT (Geometry, Symmetry and Quantum Field Theory)
quadratic operators and on the properties of their automorphism group and associated three-term
recursion relations for eigenfunctions.
M. Tarlini
INFN Sezione di Firenze
Integrability on compact hermitian symmetric spaces
We study a class of Poisson-Nijenhuis systems defined on compact hermitian symmetric spaces,
where the Nijenhuis tensor is defined as the composition of KKS symplectic form with the so called
Bruhat Poisson structure. We determine its spectrum. In the case of Grassmannians the eigenvalues
are the so called Gelfand-Cetlin variables. In the general case, we introduce collective hamiltonians
defined by a chain of nested subalgebras and prove complete integrability. The eigenvalues of the
Nijenhuis tensor give a choice of action variables.
Participants
Dipartimento di Fisica, Università degli studi di
Salerno
Università degli Studi di Pisa and INFN Sezione di
Pisa
Università degli Studi di Salerno e INFN Sezione di
Napoli
Aldi
Giulio Francesco
[email protected]
Anselmi
Damiano
Blasone
Massimo
Bonora
Loriano
SISSA Trieste
[email protected]
Buoninfante
Luca
Università degli Studi di Salerno
[email protected]
Calderón Ipinza
Marcelo
Politecnico di Torino and INFN Torino
[email protected]
Canfora
Fabrizio
CECS Valdivia Cile
[email protected]
Capolupo
Antonio
Università degli Studi di Salerno e INFN Sezione di
Napoli
[email protected]
Capozziello
Salvatore
Dipartimento di Fisica, Università degli Studi di
Napoli “Federico II” e INFN Sezione di Napoli
[email protected]
Carfora
Mauro
Università di Pavia
[email protected]
Christillin
Paolo
Dipartimento di Fisica, Università degli Studi di Pisa
[email protected]
Ciaglia
Florio Maria
Università di Napoli Federico II
[email protected]
Cianciaruso
Marco
Università degli Studi di Salerno e INFN Sezione di
Napoli
[email protected]
Citro
Roberta
Università degli Studi di Salerno
[email protected]
Ciufolini
Ignazio
Università degli Studi del Salento
[email protected]
Corberi
Federico
Università degli Studi di Salerno e INFN Sezione di
Napoli
[email protected]
D'Andrea
Francesco
Università di Napoli Federico II
[email protected]
D'Apolito
Emma
Università degli Studi di Salerno
Dappiaggi
Claudio
Dipartimento di Fisica, Università degli Studi di Pavia
De Rienzo
Maria Teresa
University of Salerno
Dell'Anno
Fabio
Università degli Studi di Salerno
Di Cosmo
Fabio
University of Naples
[email protected]
Di Filippo
Francesco
Università degli studi di Salerno
[email protected]
Di Marino
Vincenzo
Dip. di Fisica “E.R. Caianiello”
[email protected]
Di Mauro
Marco
Università degli Studi di Salerno
[email protected]
Di Vito
Marina
Durante
Ofelia
Università degli Studi di Salerno
Esposito
Giampiero
INFN, Sezione di Napoli
Esposito
Simone
Università degli studi di Salerno
[email protected]
Ferrari
Valeria
Sapienza Università di Roma
[email protected]
Fiore
Gaetano
Università Federico II, and INFN, Napoli
[email protected]
Galluzzi
Vincenzo
Dipartimento di Fisica e Astronomia (Università di
Bologna) e INAF (Bologna)
[email protected]
Gasperini
Maurizio
Università di Bari
[email protected]
Genovese
Luca
Università degli studi di Salerno
[email protected]
Gerdjikov
Vladimir
Institute for Nuclear Research and Nuclear Energy
[email protected]
Giachetti
Riccardo
Università degli Studi di Firenze
[email protected],it
Giordano
Alessandro
Department of Physics University of Salerno
[email protected]
Gozzi
Ennio
Dept. of Physics. Theoretical Section, University of
Trieste
[email protected]
Grabowski
Janusz
Institute of Mathematics, Polish Academy of Sciences
jagrab|@impan.pl
Ianovsky
Alexandar
University of Cape Town
[email protected]
Insalata
Ferdinando
Università degli Studi di Salerno (studente)
[email protected]
Lambiase
Gaetano
Università degli Studi di Salerno e INFN Sezione di
Napoli
[email protected]
[email protected]
[email protected]
[email protected]
Landi
Gianni
Università degli Studi di Trieste e INFN Sezione di
Trieste
[email protected]
Lizzi
Fedele
Dipartimento di Fisica, Università di Napoli Federico
II e INFN
[email protected]
Luciano
Giuseppe
Gaetano
Dipartimento di Fisica, Università di Salerno
[email protected]
Luongo
Orlando
Dipartimento di Fisica, Università di Napoli
“Federico II” e INFN
[email protected]
Magri
Franco
Università degli Studi di Milano - Bicocca
[email protected]
Maiellaro
Alfonso
Università degli Studi di Salerno
[email protected]
Man'ko
Vladimir I.
LEBEDEV INSTITUTE MOSCOW
[email protected]
Man'ko
Margarita
LEBEDEV INSTITUTE MOSCOW
[email protected]
Università degli Studi di Salerno e INFN Sezione di
Napoli
Università di Napoli Federico II e INFN Sezione di
Napoli
Mario
Salerno
Marmo
Giuseppe
Martina
Luigi
Dip Matematica e Fisica - Università del Salento
[email protected]
Marzuoli
Annalisa
Università di Pavia
[email protected]
Napoli
Carmine
Dipartimento di Fisica, Università di Salerno
[email protected]
Parisi
Luca
Università degli Studi di Salerno
[email protected]
Pascazio
Saverio
Dipartimento di Fisica, Università di Bari e INFN
Sezione di Bari
[email protected]
Petruzziello
Luciano
Università degli studi di Salerno
[email protected]
Pizza
Liberato
INFN e Università degli Studi di Pisa
[email protected]
Quadri
Andrea
INFN, Sez. di Milano
[email protected]
Radicella
Ninfa
Università degli Studi di Salerno e INFN Sezione di
Napoli
[email protected]
Rosa
Luigi
Università degli Studi di Napoli Federico II e INFN
Sezione di Napoli
[email protected]
Rutili
Samuel
University of Pavia
[email protected]
Salerno
Mario
Università degli Studi di Salerno
Scardigli
Fabio
American University of Middle East, Kuwait
Smaldone
Luca
Dipartimento di Fisica, Università di Salerno
Sorace
Emanuele
INFN Sezione di Firenze
[email protected]
Sparano
Giovanni
Università degli Studi di Salerno e INFN Sezione di
Napoli
[email protected]
Stabile
Arturo
University of Sannio
[email protected]
Stabile
Antonio
Università degli studi di Salerno
[email protected]
Tarlini
Marco
INFN Sezione di Firenze
[email protected]
Torre
Gianpaolo
University of Salerno
[email protected]
Urban
Francesca
Università degli studi di Salerno
[email protected]
Ventriglia
Franco
Università degli Studi di Napoli ``Federico II``
[email protected]
Venturi
Giovanni
Vilasi
Gaetano
Vinogradov
Alexander
Vitagliano
Luca
Vitale
Patrizia
Vitiello
Giuseppe
Università di Bologna, Dipartimento di Fisica e
Astronomia
Università degli Studi di Salerno e INFN Sezione di
Napoli
[email protected]
[email protected]
[email protected]
[email protected]
[email protected]
Diffiety Institute Moscow and Levi Civita Institute
Università degli Studi di Salerno e INFN Sezione di
Napoli
Università di Napoli Federico II e INFN Sezione di
Napoli
Università degli Studi di Salerno e INFN Sezione di
Napoli
[email protected]
[email protected]
[email protected]
Yamamoto
Hiroaki
California Institute of Technology, USA
[email protected]
Yoshioka
Akira
Tokyo University of Science
[email protected]
Zampini
Alessandro
University of Luxembourg, Belgium
[email protected]
NOTE