Polyakov loop correlator in perturbation theory

@article{Berwein2017PolyakovLC,
  title={Polyakov loop correlator in perturbation theory},
  author={Matthias Berwein and Nora Brambilla and Peter Petreczky and Antonio Vairo},
  journal={Physical Review D},
  year={2017},
  volume={96},
  pages={014025}
}
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… 
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