IC2006
24 – 28, April 2006
Rio de Janeiro, Brazil
published April 11, 2007
In recent years, new and intriguing mathematical techniques have found wide application in Theoretical Physics. Topics like Number Theory, Zeta Regularization, Riemann Surfaces, Cohomology, Fibre Bundles, Non-Commutative Geometry, etc., previously restricted to Pure Mathematics, now are being applied in Physics. On the other hand, the rising of Superstring Theory and K- and M-Theories motivated the employement of greater mathematical rigour in problems of Theoretical Physics. Particularly in Brazil, the number of researchers involved in problems like Topological Casimir Effect, Field Theory in Curved Spaces, Topological Defects, M-Theory, etc. is growing steadly over the last ten years. This conference aims to present the latest advances in Mathematical Methods to researchers, post-doctors, and graduate students acting in the areas of Physics of Particles and Fields, Mathematical Physics and Applied Mathematics. It happens since 1999, previously in the form of Schools, within a period of approximately two years, and is already established as a relevant event in Mathematical Physics in Brazil. About 50 participants attended the first, second and third editions, coming from several geographic regions of Brazil and from foreign countries. The last edition was attended by about 100 people. The main goal of the Fifth International Conference on Mathematical Methods in Physics (IC2006) is to promote updating of knowledge and interaction between mathematicians and theoretical physicists, through plenary sessions (1 hour) and seminars (30 minutes). Particular emphasis will be given to the following topics: Diferential Methods and Algebraic Geometry, Non-Commutative Geometry, Topological Field Theory, String Theory, Quantum Gravity and Cosmology. IC2006 will also include discussion sessions, between the participants, encouraging open discussion on the themes of the conference.

Editorial Board
Bytsenko A. Andrey (chairman), Dias Alves Sebastiao, Helayël-Neto José Abdalla, Xavier Guimarães Maria Emília

conference main image
Sessions
Plenary talks
Invited Contributions
Seminars
Posters
Plenary talks
Quantum Symmetries of Graphs and Higher Coxeter-Dynkin Systems
R. Coquereaux
Ward-Takahashi Relations: Longitudinal and Transverse
F. Khanna
String propagation in non-compact backgrounds
C. Núñez
A Vector Supersymmetry Killing the Infrared Singularity of Gauge Theories in Noncommutative space
O. Piguet
Remarks on the BTZ Instanton with Conical Singularity
F. Williams
A Survey of Recent Results for Quantum Field Theory in de Sitter Space
J.P. Gazeau
On Zeta Regularization and Some of its Uses in Cosmology
The Mass of the Graviton and the Cosmological Constant Puzzle
M. Novello
Gravitational Droplets and Open-Closed String Duality
L. Bonora
Invited Contributions
Expository remarks on topological field theories, branes, complexes and categories
A.A. Bytsenko
Seminars
Gauge Symmetries in Fokker-Planck Dynamics
A.E. Santana
Solitons Bifurcations in Presence of Surface Tension
A. Fonseca
Action principle for so-called non-Lagrangian systems
D. Gitman
Magnetohydrodynamic Spectral Theory of Laboratory and Astrophysical Plasmas
J.P. Goedbloed
Boson-Boson Bound States in Higher-Derivative Electromagnetism Augmented by a Chern-Simons Term
A.J. Accioly
Generalized Abel-Plana Formula as a Renormalization Tool in Quantum Field Theory with Boundaries
A. Saharian
Vacuum Polarization Effects in Higher Dimensional Global Monopole Spacetime
E.R. Bezerra de Mello
Free Parameters in Quantum Theories: an Analysis with the Variational Approximation
F. Braghin
Lorentz Invariance Violation and Neutrino Physics
J. Gamboa
Application of zeta-function techniques to the compactified Gross-Neveu model
J.M.C. Malbouisson
Bosonization within Thermofield Dynamics Approach
R.L.P. Gurgel do Amaral
Infrared behavior of the gluon and ghost propagators in Yang-Mills theories
S.P. Sorella
Algebraic QFT and the area law for entropy of localized quantum matter
B. Schroer
String-Localized Quantum Fields and Modular Localization
J. Mund
Spectral Methods in Gravitation and Cosmology
H.P. Oliveira
Local Conformal Symmetry and its Fate at Quantum Level
I.L. Shapiro
Duality in Noncommutative Maxwell-Chern-Simons Theory
V.O. Rivelles
Change of the Bulk's Signature with Change of the Brane-World's Topology
E.M. Monte
New Results in Supersymmetric Quantum Mechanics
Particle Physics from D-Branes at Gepner Points
G. Aldazabal
AdS/CFT Correspondence and Strong Interactions
H.B. Filho
Thermal D-branes States from Superstrings in Light-Cone Gauge
I.V. Vancea
On the Quantization of Massive Superparticles
J. Stephany
Higher N-Point Amplitudes in Open Superstring Theory
R. Medina
Posters
Non-Minimally Coupled Cosmology as Geodesic Motion
On the Geometrical Conditions to Determine the Flat Behavior of the Rotational Curves in Galaxies
A.L. Naves de Oliveira
Morse Theory Framework for the Seiberg-Witten Equations
C.M. Doria
Thermofield Dynamics and Path-Integral Formalism
C.A. Siqueira
Supersymmetric Superfluid in a Lorentz-Violating Background
C. Nunes Ferreira
Paley-Wiener-Schwartz Theorem and Microlocal Analysis of Singularities in Theory of Tempered Ultrahyperfunctions
D.H.T. Franco
Issues on 3D Noncommutative Electromagnetic Duality
D.C. Rodrigues
Non-Equiprobable States and Generalized Entropies in the Framework of BG Statistics
F.M. Mendes
Symmetries in Non Commutative Configuration Space
F.J. Vanhecke
Stochastic Quantization of Topological Field Theory: Generalized Langevin Equation with Memory Kernel
G.S. Menezes
Bose-Einstein Condensates in a Lorentz Breaking Background
H. Belich Júnior
Vacuum Polarization in the Presence of Magnetic Flux at Finite Temperature in the Cosmic String Background
J.P. Spinelly da Silva
Approximate Solution of the Evolution Operator of the Neutrino System
J.S.d.S. Oliveira
Vortices Solutions in Chern-Simons-Maxwell-Higgs System
J.H. da Silva
On the Integrability and Chaos of an N=2 Maxwell-Chern-Simons-Higgs Mechanical
L.P.G. de Assis
Lorentz Symetry Breaking in Gravity and Dimensional Reduction
M.B. Cantcheff
On the Generalized Rainich Algebra in Scalar-Tensor Gravities
M.L. Costa
SUSY QM from Three Domain Walls in a Scalar Potential
R.d.L. Rodrigues
An Attempt of Construction for the Grassmann Numbers
R. Bentin
Physical Effects of Extra Dimension and Concomitant Map between Photons and Gravitons in RS Brane-World Scenario
R. da Rocha
Born-Infeld Magnetostatic Field from Electrical Point-like Charge at Rest in an Inertial Frame
S.d.O. Vellozo