Banca de QUALIFICAÇÃO: JOSE GRIMARIO DE LIMA JUNIOR

Uma banca de QUALIFICAÇÃO de DOUTORADO foi cadastrada pelo programa.
STUDENT : JOSE GRIMARIO DE LIMA JUNIOR
DATE: 14/03/2024
TIME: 10:00
LOCAL: https://meet.google.com/kup-mymc-gkk
TITLE:

Exploring the Aspects of Lorentz Symmetry Breaking in the Context of the Rarita-Schwinger Model

KEY WORDS:

Rarita-Schwinger, spin-$3/2$, CFJ, quantum corrections

PAGES: 100
BIG AREA: Ciências Exatas e da Terra
AREA: Física
SUBÁREA: Física das Partículas Elementares e Campos
SPECIALTY: Teoria Geral de Partículas e Campos
SUMMARY:

Research related to the breaking of Lorentz symmetry in field theory models aims to discover signs of new physics beyond the Standard Model. With this, we began to consider the Extended Standard Model with Lorentz symmetry breaking, in which all possible minimal and non-minimal couplings with Lorentz symmetry breaking of scalar, spinorial and gauge fields are added, be they: Abelian or non-Abelians. The subsequent evolution of the Extended Standard Model also made it possible to include gravity and introduce terms that depend on breaking the Lorentz symmetry of gravity. These Lorentz symmetry breaks may suggest the presence of unknown particles or interactions, such as exotic particles, additional symmetries, or even extra dimensions. This type of study also allows the creation of models with Lorentz symmetry breaking that involve other types of fields. One field of particular interest is the \textit{spin}-$3/2$ field, known as the Rarita-Schwinger Model, which has important applications in the context of supergravity. In this thesis, we explore the possibility of generating the term \textit{CFJ} for both Abelian and non-Abelian cases in the theory of a gauge field coupled to a \textit{spin}-$3/2$ field in the presence of the vector constant axial axis, where we will also analyze the cases for the Rarita-Schwinger Lagrangian with and without mass. We use some regularization schemes known in the literature to generate the term \textit{CFJ}. In the non-Abelian case for the Rarita-Schwinger field with mass, we prove that this term is finite and ambiguous, disappearing when the 't Hooft-Veltman scheme is used. The ambiguity in the result may be related to the \textit{ABJ} anomaly. For the massless Abelian case, we obtain a finite \textit{CFJ} term.

COMMITTEE MEMBERS:
Interno(a) - 1695829 - ANDRE DE LIMA MOURA
Interno(a) - 2318874 - FRANCISCO ANACLETO BARROS FIDELIS DE MOURA
Externo(a) à Instituição - JOB SARAIVA FURTADO NETO - UFCA