Polyakov loop and correlator of Polyakov loops at next-to-next-to-leading order

Nora Brambilla, Jacopo Ghiglieri, Péter Petreczky, and Antonio Vairo
Phys. Rev. D 82, 074019 – Published 21 October 2010

Abstract

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 g4. The calculation of the correlator of two Polyakov loops is performed at distances shorter than the inverse of the temperature and for electric screening masses larger than the Coulomb potential. In this regime, it is accurate up to order g6. We also evaluate the Polyakov-loop correlator in an effective field theory framework that takes advantage of the hierarchy of energy scales in the problem and makes explicit the bound-state dynamics. In the effective field theory framework, we show that the Polyakov-loop correlator is at leading order in the multipole expansion the sum of a color-singlet and a color-octet quark-antiquark correlator, which are gauge invariant, and compute the corresponding color-singlet and color-octet free energies.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
2 More
  • Received 3 August 2010

DOI:https://doi.org/10.1103/PhysRevD.82.074019

© 2010 The American Physical Society

Authors & Affiliations

Nora Brambilla1, Jacopo Ghiglieri1,2, Péter Petreczky3, and Antonio Vairo1

  • 1Physik-Department, Technische Universität München, James-Franck-Strasse 1, 85748 Garching, Germany
  • 2Excellence Cluster Universe, Technische Universität München, Boltzmannstr. 2, 85748, Garching, Germany
  • 3Physics Department, Brookhaven National Laboratory, Upton, New York 11973, USA

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 82, Iss. 7 — 1 October 2010

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×