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
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.
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