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Polyakov loop at next-to-next-to-leading order

Matthias Berwein1, Nora Brambilla1,2, Péter Petreczky3, and Antonio Vairo1

  • 1Physik-Department, Technische Universität München, James-Franck-Straße 1, 85748 Garching, Germany
  • 2Institute for Advanced Study, Technische Universität München, Lichtenbergstraße 2a, 85748 Garching, Germany
  • 3Physics Department, Brookhaven National Laboratory, Upton, New York 11973, USA

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Phys. Rev. D 93, 034010 – Published 8 February, 2016

DOI: https://doi.org/10.1103/PhysRevD.93.034010

Abstract

We calculate the next-to-next-to-leading correction to the expectation value of the Polyakov loop or equivalently to the free energy of a static charge. This correction is of order g5. We show that up to this order the free energy of the static charge is proportional to the quadratic Casimir operator of the corresponding representation. We also compare our perturbative result with the most recent lattice results in SU(3) gauge theory.

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Phys. Rev. D 93, 034010– Published 8 February, 2016
  • Received 7 January 2016
Article part of CHORUS

© 2016 American Physical Society

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