Banca de DEFESA: BRUNO ZANOTELLI FELIPPE

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
STUDENT : BRUNO ZANOTELLI FELIPPE
DATE: 04/12/2023
TIME: 08:30
LOCAL: Videoconferência
TITLE:

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KEY WORDS:

Quantum Field Theory, Feynman Integrals, Implicit Regularization

PAGES: 125
BIG AREA: Outra
AREA: Multidisciplinar
SUMMARY:

The perturbative calculations in Quantum Field Theory can be represented, graphically, in terms of Feynman diagrams. The calculations of amplitudes represented by Feynman diagrams involve integrals, often divergent beyond tree level. These integrals require a treatment known as regularization, in order to extract the physical content of the amplitude. One of the most powerful techniques, Dimensional Regularization, involve dimensional extensions of space-time. However, there are models that involve mathematical objects whose the dimensional extension is ambiguous or ill-defined. A technique, called Implicit Regularization, proved to be appropriate for the treatment of models whose dimensional extension is not well defined. The method allows the calculations to be performed in the own theory dimension and prescribes simple rules for the preservation of the symmetries of the models. However, for a single Feynman integral, the expansion to separate divergences can generate a large set of finite integrals in the case of high degrees of divergence. In addition, expansions generate high powers of momenta in the numerator and denominator, which results in long and labor-intensive calculations. In this thesis, we developed a new procedure for the application of Constrained Implicit Regularization that simplifies the calculation of amplitudes, including finite parts.

COMMITTEE MEMBERS:
Externo à Instituição - MARCOS DONIZETE RODRIGUES SAMPAIO - UFABC
Externo à Instituição - ALEXANDRE RODRIGUES VIEIRA - UFTM
Presidente - ANTONIO PAULO BAETA SCARPELLI - CEFET-MG
Interno - ARTHUR RODRIGO BOSCO DE MAGALHAES
Interno - JOSE LUIZ ACEBAL FERNANDES
Externo ao Programa - LUIS ALBERTO D AFONSECA