Mathematical Physics and Field Theory

Concentration Area: Mathematical Physics and Field Theory

Line of Research: General Theory of Particles and Fields

Description: Study of integrable models, topological defects, solitons, gauge theories, confinement, renormalization, effective models, phenomenology of particles and fundamental interactions, perturbative and non-perturbative methods in theories of fields and applications, quark matter under extreme conditions and phase transitions in field theories.

Integrable Models – General study of integrable models, particularly in field theory: supersymmetric integrable models, Hamiltonian structure, models without dispersive term, integrability tests.

Field Theory – Study of the general properties of field theories: integrability of two-dimensional models, perturbative techniques, development and application of non-perturbative analytical methods to effective models at finite temperature and/or densities.

Researchers:

Prof. PhD. Emmanuel Gräve de Oliveira

  • High Energy Physics;
  • Perturbative Quantum Field Theory;
  • Quark and gluon distributions;
  • Large Hadron Collider Physics.

Prof. PhD. Marcus Emmanuel Benghi Pinto

  • Phase transitions in Quantum Chromodynamics;
  • Development of Non-Perturbative Techniques in Field Theories;
  • Condensed Matter Applications: Bose-Einstein and Polyacetylene Condensates;
  • State Equations for Compact Stellar Objects in the Presence of Magnetic Fields;
  • Quark and Hadronic Matter under Extreme Conditions

Prof. PhD. Pawel Klimas

  • General Theory of Particles and Fields;
  • Mathematical Methods of Physics.

 

 

Prof. PhD.  Jeferson Lima Tomazelli

Renormalization of gauge theories;

Low energy effective field theory;

Covariant quantization of singular and high-spin systems;

Quantum Field Theory;

Gravitation and Cosmology;

Education;

Mathematical Physics;

Spontaneous Breaking of Lorentz Symmetry in Gauge Theories in (3+1) and (2+1) Dimensions.

Prof. PhD. Marco Aurelio Cattacin Kneipp

Solitons;

Confinement;

Supersymmetric Field Theories;

Quantum Field Theory;

Topological solutions and applications;

Supersymmetry.

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