Abstract

We determine the hard-loop resummed propagator in an anisotropic QCD plasma in general covariant gauges and define a potential between heavy quarks from the Fourier transform of its static limit. We find that there is stronger attraction on distance scales on the order of the inverse Debye mass for quark pairs aligned along the direction of anisotropy than for transverse alignment.

Highlights

  • Information on quarkonium spectral functions at high temperature has started to emerge from lattice-QCD simulations; we refer to ref. [1] for recent work and for links to earlier studies

  • The hard-thermal loop” (HTL) propagator of an anisotropic plasma has been calculated in time-axial gauge in ref

  • We derive the result for general covariant gauges, which allows us to define a non-relativistic potential via the Fourier transform of the propagator in the static limit

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Summary

INTRODUCTION

Information on quarkonium spectral functions at high temperature has started to emerge from lattice-QCD simulations; we refer to ref. [1] for recent work and for links to earlier studies. [1] for recent work and for links to earlier studies. This has motivated a number of attempts to understand the lattice measurements within non-relativistic potential models including finite temperature effects such as screening [2]. The present paper is a first attempt to consider the effects due to a local anisotropy of the plasma in momentum space on the heavy-quark potential. Such deviations from perfect isotropy are expected for a real plasma created in high-energy heavy-ion collisions, which undergoes expansion. We derive the result for general covariant gauges, which allows us to define a non-relativistic potential via the Fourier transform of the propagator in the static limit

HARD-THERMAL-LOOP SELF-ENERGY IN AN ANISOTROPIC PLASMA
10 Tτ η s
PROPAGATOR IN COVARIANT GAUGE IN AN ANISOTROPIC PLASMA
HEAVY QUARK POTENTIAL IN AN ANISOTROPIC PLASMA
DISCUSSION AND OUTLOOK
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