The impact of quark masses on pQCD thermodynamics

Abstract

We present results for several thermodynamic quantities within the next-to-leading order calculation of the thermodynamic potential in perturbative QCD at finite temperature and chemical potential including non-vanishing quark masses. These results are compared to lattice data and to higher-order optimized perturbative calculations to investigate the trend brought about by mass corrections.

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

“…In Fig. 2 and also the remaining part of the paper, we use the scale-dependent strange quark mass [12] as…”

“…In that calculation, temperature-dependent quark masses, obtained by simulating the finite temperature ensembles with physical quark masses, have been used. The two-loop perturbative second-order BNS [12] has been calculated considering chemical potential-dependent renormalization scale Λ for both quark and gluon diagrams, which might not be the appropriate way. To introduce a chemical potential dependence to the renormalization scale, one needs to define two renormalization scales, namely, Λ q (for quarks) and Λ g (for gluons).…”

“…Left: Comparison of the one-loop HTLPT results for the scaled light quark and strange quark number susceptibilities with the lattice results [22]. Right: Comparison of the one-loop HTLPT results for the scaled light quark and baryon number susceptibilities with the lattice [22] and two-loop perturbative results [12]. number susceptibility and three times the baryon-number susceptibility are lower than light quark susceptibility.…”

“…Later, the two-loop perturbative calculation for the thermodynamical quantities has been extended in Refs. [11,12] using the MS renormalization scheme. Additionally, the current state-of-the-art result for the QCD pressure at a zero temperature and finite quark mass is from a three-loop bare perturbation theory [13].…”

Quark mass effects in quark number susceptibilities

“…In Ref. [2] it was pointed out that the susceptibilities are the thermodynamic quantities that are the most sensitive ones to the quark mass effects. This is why we are especially interested in investigations of these quantities.…”