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

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

2010-07-29

arxiv.org/abs/1007.5172v2

Phys.Rev.D82:074019,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

53 pages, 9 figures, version published in PRD

Scientific paper

10.1103/PhysRevD.82.074019

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^4. 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 g^6. 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 colour-singlet and a colour-octet quark-antiquark correlator, which are gauge invariant, and compute the corresponding colour-singlet and colour-octet free energies.

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