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.
Highlights
In recent years, extensive efforts have been made to create and understand strongly interacting matter in relativistic heavy ion collision experiments, e.g., at the relativistic heavy-ion collider and the large hadron collider
We study the chiral phase transition and chiral susceptibility in the presence of magnetic field and chiral chemical potential in quantum kinetic theory framework using Nambu–JonaLasinio model (NJL) model [84,85,86,87,88,89]
To regularize the vacuum part of the chiral condensate for nonvanishing magnetic field and chiral chemical potential, we have not considered the naive regularization with finite cutoff (Traditional Regularization Scheme (TRS)) to remove cutoff artifacts, rather we have considered medium separation regularization scheme (MSS) outlined in Ref. [111]
Summary
Extensive efforts have been made to create and understand strongly interacting matter in relativistic heavy ion collision experiments, e.g., at the relativistic heavy-ion collider and the large hadron collider. [63,72,73,74,75,76,77,78,79,80,81,82,83] In this investigation, we study the chiral phase transition and chiral susceptibility in the presence of magnetic field and chiral chemical potential in quantum kinetic theory framework using NJL model [84,85,86,87,88,89]. VI, we conclude our results with an outlook on it
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