# 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}
}
• Published 24 April 2017
• Physics, Mathematics
• Physical Review D
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…
15 Citations

## Figures from this paper

We use effective field theories to study the interactions of heavy quarks in the vacuum and in medium. First, we show how boost transformations may be incorporated in a non-relativistic EFT through a
• Physics
Physical Review D
• 2019
In this paper, we construct a simple model for the complex heavy quark potential which is defined through the Fourier transform of the static gluon propagator. Besides the hard thermal loop resummed
• Physics
Journal of High Energy Physics
• 2021
We solve the Lindblad equation describing the Brownian motion of a Coulombic heavy quark-antiquark pair in a strongly coupled quark-gluon plasma using the highly efficient Monte Carlo wave-function
• Physics
Physical Review D
• 2018
We study correlation functions of spatially separated static quark-antiquark pairs in (2+1)-flavor QCD in order to investigate onset and nature of color screening at high temperatures. We perform
• Physics
Proceedings of XIII Quark Confinement and the Hadron Spectrum — PoS(Confinement2018)
• 2019
We study correlation functions of spatially separated static quark-antiquark pairs in $2+1$ flavor QCD in order to investigate the nature of color screening at high temperatures. We perform lattice
• Physics
Journal of High Energy Physics
• 2022
Using the potential non-relativistic quantum chromodynamics (pNRQCD) effective field theory, we derive a Lindblad equation for the evolution of the heavy-quarkonium reduced density matrix that is
• A. Vairo
• Physics
Proceedings of XIII Quark Confinement and the Hadron Spectrum — PoS(Confinement2018)
• 2019
We review our present knowledge of the Polyakov loop, the correlator of Polyakov loops and the singlet correlator in thermal QCD from the point of view of perturbation theory and lattice QCD.

## References

SHOWING 1-10 OF 49 REFERENCES

• Physics
Physical review letters
• 1995
It is shown that existing lattice calculations of the Polyakov loop correlator at the highest temperatures available do not probe the true asymptotic region.
• Physics
• 2010
We study the Polyakov loop and the correlator of two Polyakov loops at finite temperature in the weak-coupling regime. We calculate the Polyakov loop at order g{sup 4}. The calculation of the
• Physics
• 2013
A bstractIn finite-temperature field theory, the cyclic Wilson loop is defined as a rectangular Wilson loop spanning the whole compactified time direction. In a generic non-abelian gauge theory, we
• Physics
Journal of High Energy Physics
• 2015
We study the correlators of Polyakov loops, and the corresponding gauge invariant free energy of a static quark-antiquark pair in 2+1 flavor QCD at finite temperature. Our simulations were carried
• Physics
Physics of Particles and Nuclei
• 2014
We give a short overview of the renormalization properties of rectangular Wilson loops, the Polyakov loop correlator and the cyclic Wilson loop. We then discuss how to renormalize loops with more
• Physics
• 2003
We study the properties of the free energy of infinitely heavy quark anti-quark pair in SU(2) gauge theory. By means of lattice Monte Carlo simulations we calculated the free energies in the singlet,
• Physics
• 2010
A popular observable in finite-temperature lattice QCD is the so-called singlet quark-antiquark free energy, conventionally defined in Coulomb gauge. In an effort to interpret the existing numerical
• Physics
• 2016
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 g 5 . We show that