Polyakov loop correlator in perturbation theory

Abstract

We study the Polyakov loop correlator in the weak coupling expansion and show how the perturbative series re-exponentiates into singlet and adjoint contributions. We calculate the order $g^7$ correction to the Polyakov loop correlator in the short distance limit. We show how the singlet and adjoint free energies arising from the re-exponentiation formula of the Polyakov loop correlator are related to the gauge invariant singlet and octet free energies that can be defined in pNRQCD, namely we find that the two definitions agree at leading order in the multipole expansion, but differ at first order in the quark-antiquark distance.

58 pages, 2 figures; v2 journal version; v3 misprints corrected

References in corpus (8)

• Static quark-antiquark pairs at finite temperature
• Webs in multiparton scattering using the replica trick
• Polyakov loop and correlator of Polyakov loops at next-to-next-to-leading order
• Static $\bar{Q}Q$ pair free energy and screening masses from correlators of Polyakov loops: continuum extrapolated lattice results at the QCD physical point
• On the smallest screening masses in hot QCD
• The Polyakov loop at next-to-next-to leading order
• Renormalization of the cyclic Wilson loop
• Correlation functions of Polyakov loops at tree level

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