Quark number susceptibilities from resummed perturbation theory

Abstract

We evaluate the second and fourth order quark number susceptibilities in hot QCD using two variations of resummed perturbation theory. On one hand, we carry out a one-loop calculation within hard-thermal-loop perturbation theory, and on the other hand perform a resummation of the four-loop finite density equation of state derived using a dimensionally reduced effective theory. Our results are subsequently compared with recent high precision lattice data, and their agreement thoroughly analyzed.Comment: 5 pages, 3 figures. v3: Figures updated, published in Phys. Rev.

Electrical conductivity and charge diffusion in thermal QCD from the lattice

“…(4.8). Our results appear consistent with the findings of other lattice groups [53,54] and also with resummed perturbation theory [60], in particular concerning the deviation from unity at the highest temperatures.…”

Three-loop pressure and susceptibility at finite temperature and density from hard-thermal-loop perturbation theory

“…This work extends previous NNLO work at zero chemical potential [14] and previous leading-order (LO) [15][16][17] and next-to-leading-order (NLO) work at finite chemical potential [18] to NNLO. For our results we present (i) comparisons of the pressure scaled by the ideal pressure to available lattice data at zero and finite chemical potential and (ii) comparisons of the extracted second-and fourth-order diagonal quark number susceptibilities to available lattice data.…”

“…4, the agreement between NNLO HTLpt and lattice data for the second-order baryon-number susceptibility is quite reasonable at high temperatures. In addition, we note that in the case of the second-order susceptibility, the LO [15][16][17] and NLO [18] HTLpt predictions are close to the NNLO result shown in Fig. 4, indicating that this quantity converges nicely in HTLpt.…”

Three-loop HTLpt thermodynamics at finite temperature and chemical potential

“…HTLpt has been used to calculate thermodynamic functions at one loop HTLpt [40][41][42][43][44], at two loops [45][46][47][48], and at three loops at zero chemical potential [49][50][51][52][53][54] as well as at finite chemical potential [55]. Application of some hard-thermal-loop motivated approaches can be found in [56][57][58][59][60][61][62][63][64][65][66][67].…”