Abstract
Considering the strong field approximation we compute the hard thermal loop pressure at finite temperature and chemical potential of hot and dense deconfined QCD matter in lowest Landau level in one-loop order. We consider the anisotropic pressure in the presence of the strong magnetic field i.e., longitudinal and transverse pressure along parallel and perpendicular to the magnetic field direction. As a first effort, we compute and discuss the anisotropic quark number susceptibility of deconfined QCD matter in lowest Landau level. The longitudinal quark number susceptibility is found to increase with the temperature whereas the transverse one decreases with the temperature. We also compute the quark number susceptibility in the weak field approximation. We find that the thermomagnetic correction to the quark number susceptibility is very marginal in the weak field approximation.
Highlights
Fluctuations of the conserved quantum numbers like the baryon number, electric charge and strangeness number have been proposed as the probe of a hot and dense matter created in high energy heavy-ion collisions
We consider a hot and dense deconfined QCD matter in the presence of the background strong and weak magnetic field within HTL approximation
In the strong field approximation we assume quarks are in the lowest Landau level
Summary
Fluctuations of the conserved quantum numbers like the baryon number, electric charge and strangeness number have been proposed as the probe of a hot and dense matter created in high energy heavy-ion collisions. [18] the second-order quark number susceptibility (QNS), considering the finite strange-quark mass, was calculated. Potential in the presence of a magnetic field, calculate the second-order QNS of deconfined QCD matter in these two scale hierarchies. We consider two different cases with strong and weak magnetic field in this article
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