Chirality dependence in charge and heat transport in thermal QCD

Abstract

We investigate the transport of charge and heat in a baryon asymmetric hot QCD medium in the presence of a magnetic field. When the magnetic field strength becomes weak, some novel phenomenological aspects emerge in the transport phenomena, particularly: A) The degeneracy in leftand right-handed chiral modes of quarks gets lifted. B) Hall effect in both electrical and thermal transport develops. Both the transport coefficients assume a tensorial structure, where diagonal elements represent the longitudinal conductivities (σ Ohmic and κ0) and off-diagonal elements represent their Hall counterparts (σ Hall and κ1). The B dependent quasiparticle parton masses serve as an input for the evaluation of charge and thermal transport properties of the medium, quantified by the electrical and Hall conductivities, and the longitudinal and transverse thermal conductivities. The Ohmic conductivity (σ Ohmic ) decreases whereas the Hall conductivity (σ Hall ) increases with magnetic field strength. There is also a rise in both the conductivities with increase in quark chemical potential. The coefficient κ0 decreases with magnetic field whereas κ1 increases with magnetic field similar to the trends followed by the Ohmic and Hall conductivities. The degree of baryonic asymmetry positively amplifies both κ0 and κ1. The value of the Knudsen number (Ω0 and Ω1) is found to be less than unity for the entire temperature range considered. Further, we find that the Lorenz number κ 0 σ Ohmic T and Hall Lorenz number κ 1 σ Hall T do not remain constant with temperature, rather increase, hence violating the Wiedemann-Franz law.