Banca de QUALIFICAÇÃO: OLAVO DE BRITTO ABLA

Uma banca de QUALIFICAÇÃO de DOUTORADO foi cadastrada pelo programa.
STUDENT : OLAVO DE BRITTO ABLA
DATE: 04/12/2023
TIME: 14:00
LOCAL: S-307-3
TITLE:

Noncommutative gauge theories

PAGES: 72
BIG AREA: Ciências Exatas e da Terra
AREA: Física
SUBÁREA: Física das Partículas Elementares e Campos
SPECIALTY: Teoria Geral de Partículas e Campos
SUMMARY:

The present work is devoted to study the semi-classical limit of full noncommutative gauge theory, known as Poisson gauge theory. First we construct an L$_{\infty}^{full}$ algebra which governs both the action of gauge symmetries and the dynamics of the theory, deriving a set of non-vanishing brackets, and proving that they satisfy the corresponding homotopy relations. Then we use the pure spatial canonical non-commutativity to investigate the effects of wave propagation under an external magnetic field, obtaining properties of the medium ruled by the permittivity and the permeability tensors in terms of the non-commutative parameter, and the birefringence phenomenon emerged from the modified dispersion relations. Finally, we attempt to construct the non-associative gauge theory using a quasi-Poisson structure isomorphic to the Malcev algebra of octonions.

COMMITTEE MEMBERS:
Presidente - Interno ao Programa - 1724820 - DMITRY VASILEVICH
Membro Titular - Examinador(a) Interno ao Programa - 1545447 - MARCOS ROBERTO DA ROCHA GESUALDI
Membro Titular - Examinador(a) Interno ao Programa - 2616823 - ALYSSON FABIO FERRARI
Membro Suplente - Examinador(a) Interno ao Programa - 1574260 - ROLDAO DA ROCHA JUNIOR
Membro Suplente - Examinador(a) Interno ao Programa - 1234028 - NAIL KHUSNUTDINOV
Membro Suplente - Examinador(a) Interno ao Programa - 1907614 - MAURICIO RICHARTZ