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

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 in...

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Bibliographic Details
Published in:Physical review. D 2018-05, Vol.97 (9), Article 094001
Main Authors: Tavares, William R., Avancini, Sidney S.
Format: Article
Language:English
Subjects:
Electric fields
Mathematical analysis
Mathematical models
Pair production
Quarks
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Summary: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).
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.97.094001