IC2006

24 – 28, April 2006

Rio de Janeiro, Brazil

published April 11, 2007

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

Sessions |
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Plenary talks |

Invited Contributions |

Seminars |

Posters |

Plenary talks |

Quantum Symmetries of Graphs and Higher Coxeter-Dynkin Systems PoS(IC2006)001 pdf |

Ward-Takahashi Relations: Longitudinal and Transverse PoS(IC2006)003 pdf |

String propagation in non-compact backgrounds PoS(IC2006)004 pdf |

A Vector Supersymmetry Killing the Infrared Singularity of Gauge Theories in Noncommutative space PoS(IC2006)005 pdf |

Remarks on the BTZ Instanton with Conical Singularity PoS(IC2006)006 pdf |

A Survey of Recent Results for Quantum Field Theory in de Sitter Space PoS(IC2006)007 pdf |

On Zeta Regularization and Some of its Uses in Cosmology PoS(IC2006)008 pdf attachments |

The Mass of the Graviton and the Cosmological Constant Puzzle PoS(IC2006)009 pdf |

Gravitational Droplets and Open-Closed String Duality PoS(IC2006)011 pdf |

Invited Contributions |

Expository remarks on topological field theories, branes, complexes and categories PoS(IC2006)054 pdf |

Seminars |

Gauge Symmetries in Fokker-Planck Dynamics PoS(IC2006)012 pdf |

Solitons Bifurcations in Presence of Surface Tension PoS(IC2006)015 pdf |

Action principle for so-called non-Lagrangian systems PoS(IC2006)016 pdf |

Magnetohydrodynamic Spectral Theory of Laboratory and Astrophysical Plasmas PoS(IC2006)017 pdf |

Boson-Boson Bound States in Higher-Derivative Electromagnetism Augmented by a Chern-Simons Term PoS(IC2006)018 pdf |

Generalized Abel-Plana Formula as a Renormalization Tool in Quantum Field Theory with Boundaries PoS(IC2006)019 pdf |

Vacuum Polarization Effects in Higher Dimensional Global Monopole Spacetime PoS(IC2006)020 pdf |

Free Parameters in Quantum Theories: an Analysis with the Variational Approximation PoS(IC2006)021 pdf |

Lorentz Invariance Violation and Neutrino Physics PoS(IC2006)022 pdf |

Application of zeta-function techniques to the compactified Gross-Neveu model PoS(IC2006)023 pdf |

Bosonization within Thermofield Dynamics Approach PoS(IC2006)025 pdf |

Infrared behavior of the gluon and ghost propagators in Yang-Mills theories PoS(IC2006)026 pdf |

Algebraic QFT and the area law for entropy of localized quantum matter PoS(IC2006)027 pdf |

String-Localized Quantum Fields and Modular Localization PoS(IC2006)028 pdf |

Spectral Methods in Gravitation and Cosmology PoS(IC2006)029 pdf |

Local Conformal Symmetry and its Fate at Quantum Level PoS(IC2006)030 pdf |

Duality in Noncommutative Maxwell-Chern-Simons Theory PoS(IC2006)031 pdf |

Change of the Bulk's Signature with Change of the Brane-World's Topology PoS(IC2006)032 pdf |

New Results in Supersymmetric Quantum Mechanics PoS(IC2006)033 pdf attachments |

Particle Physics from D-Branes at Gepner Points PoS(IC2006)034 pdf |

AdS/CFT Correspondence and Strong Interactions PoS(IC2006)035 pdf |

Thermal D-branes States from Superstrings in Light-Cone Gauge PoS(IC2006)036 pdf |

On the Quantization of Massive Superparticles PoS(IC2006)069 pdf |

Higher N-Point Amplitudes in Open Superstring Theory PoS(IC2006)038 pdf |

Posters |

Non-Minimally Coupled Cosmology as Geodesic Motion PoS(IC2006)039 pdf |

On the Geometrical Conditions to Determine the Flat Behavior of the Rotational Curves in Galaxies PoS(IC2006)042 pdf |

Morse Theory Framework for the Seiberg-Witten Equations PoS(IC2006)043 pdf |

Thermofield Dynamics and Path-Integral Formalism PoS(IC2006)044 pdf |

Supersymmetric Superfluid in a Lorentz-Violating Background PoS(IC2006)046 pdf attachments |

Paley-Wiener-Schwartz Theorem and Microlocal Analysis of Singularities in Theory of Tempered Ultrahyperfunctions PoS(IC2006)047 pdf |

Issues on 3D Noncommutative Electromagnetic Duality PoS(IC2006)048 pdf |

Non-Equiprobable States and Generalized Entropies in the Framework of BG Statistics PoS(IC2006)049 pdf |

Symmetries in Non Commutative Configuration Space PoS(IC2006)052 pdf |

Stochastic Quantization of Topological Field Theory: Generalized Langevin Equation with Memory Kernel PoS(IC2006)053 pdf |

Bose-Einstein Condensates in a Lorentz Breaking Background PoS(IC2006)055 pdf |

Vacuum Polarization in the Presence of Magnetic Flux at Finite Temperature in the Cosmic String Background PoS(IC2006)056 pdf |

Approximate Solution of the Evolution Operator of the Neutrino System PoS(IC2006)057 pdf |

Vortices Solutions in Chern-Simons-Maxwell-Higgs System PoS(IC2006)058 pdf |

On the Integrability and Chaos of an N=2 Maxwell-Chern-Simons-Higgs Mechanical PoS(IC2006)059 pdf |

Lorentz Symetry Breaking in Gravity and Dimensional Reduction PoS(IC2006)060 pdf |

On the Generalized Rainich Algebra in Scalar-Tensor Gravities PoS(IC2006)061 pdf |

SUSY QM from Three Domain Walls in a Scalar Potential PoS(IC2006)062 pdf attachments |

An Attempt of Construction for the Grassmann Numbers PoS(IC2006)064 pdf |

Physical Effects of Extra Dimension and Concomitant Map between Photons and Gravitons in RS Brane-World Scenario PoS(IC2006)065 pdf |

Born-Infeld Magnetostatic Field from Electrical Point-like Charge at Rest in an Inertial Frame PoS(IC2006)066 pdf |