Chiral susceptibility in the 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 (𝜇5 ) as well as a nonvanishing magnetic field (𝐵 ). We use a medium separation regularization scheme (MSS) in the precence of magnetic field to calculate the chiral condensate and corresponding susceptibility. It is observed that for a fixed value of chiral chemical potential (𝜇5 ), 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 nondegeneracy in susceptibility for up and down type quarks.