Quark mass dependent collective excitations and quark number susceptibilities within the hard thermal loop approximation

Haque, Najmul

doi:10.1103/physrevd.98.014013

Cited by 11 publications

(7 citation statements)

References 23 publications

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“…Note that this expression is consistent with the one given in Ref. [19] after taking the limit given in Eq. (C1) for the latter.…”

Section: Appendix B: Necessary Integralssupporting

confidence: 90%

Cool quark matter with perturbative quark masses

Gorda,

Säppi

2021

Preprint

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In perturbative thermal calculations, introducing nonzero quark masses causes considerable complications. In this article we describe an approximation scheme valid for sufficiently light masses which significantly simplifies the relevant calculations with only a small loss in accuracy. We apply the scheme to Quantum Chromodynamics, with two massless and one massive flavor, obtaining analytic results which are in excellent agreement with numerical non-approximated results. Our results are accurate to O(g 5 ) in the strong coupling parameter g, as long as either the chemical potential µ of the quark species with nonzero mass m satisfies m = O(gµ) or if the temperature T satisfies m = O(gT ). We find that these conditions are always satisfied for the three lightest quarks for the values of µ, T where Quantum Chromodynamics is perturbatively convergent.

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“…Note that this expression is consistent with the one given in Ref. [19] after taking the limit given in Eq. (C1) for the latter.…”

Section: Appendix B: Necessary Integralssupporting

confidence: 90%

Cool quark matter with perturbative quark masses

Gorda,

Säppi

2021

Preprint

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“…The left panel is for chemical potential, µ = 0 whereas the right panel is for µ = 0.3 GeV for hot and dense magnetized QCD matter in one-loop HTLpt within weak field approximation for different values of field strengths, |eB| = 0, m 2 π /2, m 2 π and 3m 2 π /2. We note that for |eB| = 0 one gets back usual one-loop HTLpt pressure [69][70][71][72][73][74][75][76][77]. From both plots one observes that the low T (< 0.8 GeV) behaviour of the pressure is strongly affected by the presence of magnetic field whereas at high T (≥ 0.8 GeV) it almost remains unaffected as the temperature becomes the dominant scale because of weak field approximation m 2 th < |eB| < T 2 .…”

Section: Resultsmentioning

confidence: 89%

“…The Hard Thermal Loop perturbation theory (HTLpt) is one such state-of-the-art resummed perturbation theory [69]. In HTLpt the EOS of QCD in absence of magnetic field has systematically been computed within one-loop(Leading order (LO)) [69][70][71][72][73][74][75][76][77], two loop (next-LO (NLO)) [78][79][80][81] and three loop (next-to-NLO (NNLO)) [82][83][84][85][86][87][88] at finite temperature and chemical potential. Though the all loop order calculations are gauge invariant, the three loop results are complete in g 5 , fully analytic that does not require any free fit parameter beside renormalization scale.…”

Section: Introductionmentioning

confidence: 99%

Pressure of a weakly magnetized hot and dense deconfined QCD matter in one-loop hard-thermal-loop perturbation theory

et al. 2019

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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 we have computed free energy and pressure of quarks and gluons for a magnetized hot and dense deconfined QCD matter in weak field approximation. For heat bath we have used hard thermal loop perturbation theory (HTLpt) in presence of finite chemical potential. For weak field approximations, the results are completely analytic and gauge independent but depends 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. An analytic expression for Debye mass is also obtained for both strong and weak field approximation. It is found to exhibit some interesting features depending upon the three different scales, i.e, the thermal quark mass, temperature and the strength of the magnetic field. The various divergences appearing in the quark and gluon free energies are regulated through appropriate counter terms. In weak field approximation, the low temperature behaviour of the pressure is found to strongly depend on the magnetic field 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.

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“…In Ref. [18] the second-order quark number susceptibility (QNS), considering the finite strange-quark mass, was calculated.…”

Section: Introductionmentioning

confidence: 99%

Second-order quark number susceptibility of deconfined QCD matter in the presence of a magnetic field

2020

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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 the 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 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 the 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.

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Quark mass dependent collective excitations and quark number susceptibilities within the hard thermal loop approximation

Cited by 11 publications

References 23 publications

Cool quark matter with perturbative quark masses

Cool quark matter with perturbative quark masses

Pressure of a weakly magnetized hot and dense deconfined QCD matter in one-loop hard-thermal-loop perturbation theory

Second-order quark number susceptibility of deconfined QCD matter in the presence of a magnetic field

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