Journal article

Publication year: 2019

Journal: Physical Review D

Volume number: 100

Issue number: 3

ISSN: 2470-0010

eISSN: 2470-0029

Open access status: Hybrid

DOI Link: https://doi.org/10.1103/PhysRevD.100.034031

Publisher: American Physical Society

Abstract: 
We consider our recently obtained general structure of two point (self-energy and propagator) functions of quarks and gluons in a nontrivial background like a heat bath and an external magnetic field. Based on this, here we have computed the free energy and pressure of quarks and gluons for a magnetized hot and dense deconfined QCD matter in weak field approximation. For a heat bath we have used hard-thermal-loop perturbation theory (HTLpt) in the presence of a finite chemical potential. For weak field approximations we have obtained the pressure of QCD matter, both with and without the high temperature expansion. The results with high T expansions are completely analytic and gauge independent but depend on the renormalization scale in addition to the temperature, chemical potential, and the external magnetic field. We also discuss the modification of QCD Debye mass of such matter for an arbitrary magnetic field. Analytic expressions for Debye mass are also obtained for both strong and weak field approximations. It is found to exhibit some interesting features depending upon the three different scales, i.e., the quark mass, temperature, and the strength of the magnetic field. The various divergences appearing in the quark and gluon free energies arc regulated through appropriate counterterms. In weak field approximation, the low temperature behavior of the pressure is found to strongly depend on the magnetic field more so than that at high temperature. We also discuss the specific problem with one-loop HTLpt associated with the over-counting of certain orders in coupling.

Harvard Citation style: Bandyopadhyay, A., Karmakar, B., Haque, N. and Mustafa, M. (2019) Pressure of a weakly magnetized hot and dense deconfined QCD matter in one-loop hard-thermal-loop perturbation theory, Physical Review D, 100(3), Article 034031. https://doi.org/10.1103/PhysRevD.100.034031

APA Citation style: Bandyopadhyay, A., Karmakar, B., Haque, N., & Mustafa, M. (2019). Pressure of a weakly magnetized hot and dense deconfined QCD matter in one-loop hard-thermal-loop perturbation theory. Physical Review D. 100(3), Article 034031. https://doi.org/10.1103/PhysRevD.100.034031