Schwinger mechanism in the SU(3) Nambu–Jona-Lasinio model with an electric field

William R Tavares,Sidney S Avancini

doi:10.1103/physrevd.97.094001

William R Tavares, Sidney S Avancini

Open Access

https://doi.org/10.1103/physrevd.97.094001

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Abstract

In this work we study the electrized quark matter under finite temperature and density conditions in the context of the SU(2) and SU(3) Nambu--Jona-Lasinio models. To this end, we evaluate the effective quark masses and the Schwinger quark-antiquark pair production rate. For the SU(3) NJL model we incorporate in the Lagrangian the 't Hooft determinant and we present a set of analytical expressions more convenient for numerical evaluations. We predict a decrease of the pseudocritical electric field with the increase of the temperature for both models and a more prominent production rate for the SU(3) model when compared to the SU(2).

Highlights

In the last few decades strongly interacting quark matter under extreme conditions of temperature and/or baryon density has been extensively studied due to the possibility of a phase transition from hadronic matter to the quark-gluon-plasma (QGP), and the possibility for exploiting properties of the fundamental interactions
A phase diagram of the transition from the hadronic matter to QGP can be plotted, and it is expected that exists a crossover at high temperatures and low baryonic densities; otherwise, a first-order phase transition at high densities and low temperatures
The Schwinger pair production rate is given by Γ 1⁄4 −2IðΩÞ [22,32], where IðΩÞ corresponds to the imaginary part of the effective potential

Summary

INTRODUCTION

In the last few decades strongly interacting quark matter under extreme conditions of temperature and/or baryon density has been extensively studied due to the possibility of a phase transition from hadronic matter to the quark-gluon-plasma (QGP), and the possibility for exploiting properties of the fundamental interactions Such conditions are explored in accelerators like LHC-CERN and BNL-RHIC, and can be found in compact objects like neutron stars [1] or in the early universe [2,3]. We use the analytic continuation technique in order to obtain analytical expressions for the effective potential and gap equation in strongly electrized systems starting from the corresponding regularized magnetic expressions.

GENERAL FORMALISM

REGULARIZATION

THE TWO-FLAVOR MODEL

NUMERICAL RESULTS

CONCLUSIONS