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arXiv · 1801.10566

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

William R. Tavares·Sidney S. Avancini
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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).

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William R. Tavares, Sidney S. Avancini. 2018-01-31. Schwinger mechanism in the SU(3) Nambu--Jona-Lasinio model with an electric field. https://doi.org/10.1103/physrevd.97.094001

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