Banca de DEFESA: ISAAC MAX PEREIRA

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : ISAAC MAX PEREIRA
DATE: 20/09/2021
TIME: 14:00
LOCAL: REMOTO
TITLE:

THE GOLDBERBER-TREIMAN RELATIONSHIP IN THE NAMBU-JONA-LASÍNIO MODEL

KEY WORDS:

QCD, Anomalies, NJL, Chan’s transformation, Meson π

PAGES: 77
BIG AREA: Ciências Exatas e da Terra
AREA: Física
SUBÁREA: Física das Partículas Elementares e Campos
SUMMARY:

In this work, we present an essay on the Goldberger-Treiman relation in the context of the Nambu-Jona-Lasinio (NJL) model, employing a symmetry-preserving procedure (referred to as Chan’s transformation). For this purpose, we explicitly present the construction of the bosonized Lagrangian of the NJL model and the mechanism for obtaining the physical observables from this Lagrangian. From it,
we obtain the explicit expressions for the self-energy of the pion and for the pion weak decay constant, the two physical quantities involved in the Goldberger-Treiman relation. Finally, we explicitly calculate these quantities using the invariance of the effective Lagrangian relative to Chan’s transformation to eliminate ambiguous (non-physical) quantities that arise due to the divergences present in the amplitudes, showing that the Goldberger-Treiman relation is satisfied in this context.

BANKING MEMBERS:
Presidente - 1217987 - ANDRE LUIZ MOTA
Externo à Instituição - JEAN CARLOS COELHO FELIPE - UFVJM
Externo à Instituição - SERGIO MARTINS DE SOUZA - UFLA