Chiral susceptibility in Nambu Jona Lasinio model: a Wigner function approach

Abstract

We estimate here chiral susceptibility at finite temperature within the framework of the Nambu-Jona-Lasinio model (NJL) using the Wigner function approach. We also estimate it in the presence of chiral chemical potential (${\mu }_5$) as well as a non vanishing magnetic field ($B$). We use medium separation regularization scheme (MSS) to calculate the chiral condensate and corresponding susceptibility. It is observed that for a fixed value of chiral chemical potential (${\mu }_5$), transition temperature increases with the magnetic field. While for the fixed value of the magnetic field, transition temperature decreases with chiral chemical potential. For a strong magnetic field, we observe non degeneracy in susceptibility for up and down type quarks.

arXiv comment31 pages, 6 figures

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• Topological susceptibility, divergent chiral density and phase diagram of chirally imbalanced QCD medium at finite temperature
• Wigner function formalism and the evolution of thermodynamic quantities in an expanding magnetized plasma
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