The influence of quark anomalous magnetic moment in the Nambu–Jona‐Lasinio model with different regularizations

Author:

Tavares William R.1ORCID,Nunes Rodrigo M.2,Avancini Sidney S.3,Farias Ricardo L. S.2

Affiliation:

1. Departamento de Física Teórica Universidade do Estado do Rio de Janeiro Rio de Janeiro Brazil

2. Departamento de Física Universidade Federal de Santa Maria Rio Grande do Sul Brazil

3. Departamento de Física Universidade Federal de Santa Catarina Santa Catarina Brazil

Abstract

AbstractThe Nambu–Jona‐Lasinio model is known for its simplicity and capacity to reproduce some of the basic characteristics of the quantum chromodynamics phase diagram. However, since it is a nonrenormalizable model, there are regularization issues that should be treated conveniently. This is the case when considering the quark anomalous magnetic moment (AMM) when external constant magnetic fields are present. Regularization procedures based on entangled functions between the magnetic field and the cutoff of the model can predict first‐order phase transitions for chiral symmetry restoration at finite values of magnetic fields and inverse magnetic catalysis. The strengths of magnetic fields explored in NJL model and lattice QCD do not show first‐order phase transition. In the present work, we show that some of the previous results are regularization‐dependent effects and how to handle the divergences using the vacuum magnetic regularization scheme.

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro

Fundação de Amparo à Pesquisa do Estado do Rio Grande do Sul

Instituto Nacional de Ciência e Tecnologia: Física Nuclear e Aplicações

Publisher

Wiley

Subject

Space and Planetary Science,Astronomy and Astrophysics

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