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Quark number susceptibilities from two-loop hard thermal loop perturbation theory

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Abstract

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

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Authors and Affiliations

  1. Theory Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata, 700064, India

    Najmul Haque & Munshi G. Mustafa

  2. Physics Department, Kent State University, 206B Smith Hall, Kent, OH, 44242, USA

    Michael Strickland

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  1. Najmul Haque
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  2. Munshi G. Mustafa
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Correspondence to Michael Strickland.

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ArXiv ePrint: 1302.3228v2

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Haque, N., Mustafa, M.G. & Strickland, M. Quark number susceptibilities from two-loop hard thermal loop perturbation theory. J. High Energ. Phys. 2013, 184 (2013). https://doi.org/10.1007/JHEP07(2013)184

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