Eur. Phys. J. A (2017) 53: 101
https://doi.org/10.1140/epja/i2017-12320-8

Regular Article - Theoretical Physics

Thermo-magnetic effects in quark matter: Nambu-Jona-Lasinio model constrained by lattice QCD

¹ Departamento de Física, Universidade Federal de Santa Maria, 97105-900, Santa Maria, RS, Brazil
² Physics Department, Kent State University, 44242, Kent, OH, USA
³ Grupo de Óptica e Modelagem Numérica (GOMNI), Faculdade de Tecnologia (FT), Universidade Estadual de Campinas (UNICAMP), 13484-332, Limeira, SP, Brazil
⁴ Departamento de Física, Universidade Federal de Santa Catarina, 88040-900, Florianópolis, Santa Catarina, Brazil
⁵ Instituto de Física Teórica, Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271 - Bloco II, 01140-070, São Paulo, SP, Brazil

^* e-mail: ricardosonegofarias@gmail.com

Received: 7 November 2016
Accepted: 13 April 2017
Published online: 19 May 2017

Abstract

The phenomenon of inverse magnetic catalysis of chiral symmetry in QCD predicted by lattice simulations can be reproduced within the Nambu-Jona-Lasinio model if the coupling G of the model decreases with the strength B of the magnetic field and temperature T. The thermo-magnetic dependence of G(B, T) is obtained by fitting recent lattice QCD predictions for the chiral transition order parameter. Different thermodynamic quantities of magnetized quark matter evaluated with G(B, T) are compared with the ones obtained at constant coupling, G. The model with G(B, T) predicts a more dramatic chiral transition as the field intensity increases. In addition, the pressure and magnetization always increase with B for a given temperature. Being parametrized by four magnetic-field-dependent coefficients and having a rather simple exponential thermal dependence our accurate ansatz for the coupling constant can be easily implemented to improve typical model applications to magnetized quark matter.