1302.3228 (Najmul Haque et al.)

Quark Number Susceptibilities from Two-Loop Hard Thermal Loop
Perturbation Theory    [PDF]

Najmul Haque, Munshi G. Mustafa, Michael Strickland

We use the recently obtained two-loop hard thermal loop perturbation theory thermodynamics functions of a plasma of quarks and gluons to compute second- and fourth-order quark number susceptibilities. The two-loop hard thermal loop perturbation theory thermodynamic functions used were obtained in a previous paper and are reliable in the limit that the ratio of the quark chemical potential to temperature is small. Taking derivatives of this result, we are able to obtain (semi-)analytic expressions for the QNS at leading- and next-to-leading-order in hard thermal loop perturbation theory. We compare the leading- and next-to-leading-order hard thermal loop perturbation theory results for the second- and fourth-order quark number susceptibilities with perturbative quantum chromodynamics calculations, a Polyakov-loop Nambu-Jona-Lasinio calculation, and lattice quantum chromodynamics results.

View original: http://arxiv.org/abs/1302.3228