Insignificance of the anomalous magnetic moment of the quarks in presence of chiral imbalance

Abstract

We incorporate the anomalous magnetic moment (AMM) of quarks in the framework of PNJL model to study hot and dense magnetised matter with chiral imbalance. For this purpose, the eigen energy solution of the Dirac equation is obtained in presence of constant background magnetic field and chiral chemical potential (CCP) along with the minimal anomalous magnetic moment interaction of the fermion. Although there is a marginal enhancement in the IMC behaviour of the quark condensate due to the combined effects of AMM and CCP, we find that the overall behaviour of the Polyakov loop and the chiral charge density is dominated by the chiral chemical potential. It is further shown that the AMM effects in presence of CCP remains insignificant even for dynamically generated moments.

Anisotropic pressure of magnetized quark matter with anomalous magnetic moment

“…Here > 0 represents the energy eigenvalues of the quarks considering the finite values of AMM and is given by [65,68] 2…”

“…In Refs. [51,[65][66][67][68][69][70][71][72][73][74], it is observed that the consideration of nonzero values of the anomalous magnetic moment (AMM) of the quarks results in a decrease in chiral transition temperature implying IMC.…”

Electromagnetic spectral functions in hot and dense chirally imbalanced quark matter

“…The 'strong' interaction of quarks has been modeled using the 2-flavour Nambu-Jona-Lasionio (NJL) model [59,60] in the mean field approximation. This model has been extensively used to examine some of the nonperturbative properties of the QCD at arbitrary values of temperature and baryon chemical potential (BCP) (see [61][62][63] for reviews), as well as in presence of a CCP [64][65][66][67][68][69][70]. The constituent quark mass at different external parameters, such as temperature, BCP and CCP, has been obtained by solving the corresponding gap equation.…”

Dilepton production from chirally asymmetric matter

“…As an alternative, we have used the Nambu-Jona-Lasinio (NJL) model [61,62] which is built by respecting the global symmetries of QCD, most importantly the chiral symmetry [63][64][65]. This model has been very useful to probe the vacuum structure of QCD at arbitrary values of temperature, baryon chemical potential (BCP) and CCP [66][67][68][69][70][71][72].…”