Renormalization of the baryon axial vector current in heavy baryon chiral perturbation theory and the large Nc limit

Abstract

To understand the strong interactions in nature, the most e cient theory in agreeing with the Standard Model is the Quantum Chromodynamics (QCD) that resumes the strong interactions in a model of quarks and gluons. In the regimen of low energy, QCD has problems to describe the phenomena because here the theory is no longer a quark theory, and they are con ned inside hadrons. To solve the above problem some di erent e ective theories have been proposed, two of the most relevant theories are Heavy Baryon Chiral Perturbation theory (HBChPT), which works with a model of baryons and mesons instead of quarks, and the large-Nc limit for QCD, which considers a many colors and the expansion of any QCD operator in a spin-

avor representation. In this work, an important operator of QCD, the baryon axial vector current will be treated and computed the avor singlet and octet contribution to its one-loop renormalization in the combined formalism of HBChPT and the large Nc limit.