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

Journal Article · Fri Oct 01 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.074019· OSTI ID:21421379

Brambilla, Nora; Vairo, Antonio ^[1]; Ghiglieri, Jacopo ^[1]; Petreczky, Peter ^[2]

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1. Physik-Department, Technische Universitaet Muenchen, James-Franck-Strasse 1, 85748 Garching (Germany)
2. Physics Department, Brookhaven National Laboratory, Upton, New York 11973 (United States)

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 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{sup 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 color-singlet and a color-octet quark-antiquark correlator, which are gauge invariant, and compute the corresponding color-singlet and color-octet free energies.

• OSTI ID: 21421379
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 7; Other Information: DOI: 10.1103/PhysRevD.82.074019; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUND STATE
COLOR MODEL
COMPUTERIZED SIMULATION
COULOMB FIELD
COUPLING
EXPANSION
FREE ENERGY
GAUGE INVARIANCE
MASS
QUANTUM FIELD THEORY
QUARK-ANTIQUARK INTERACTIONS
WEAK-COUPLING MODEL
COMPOSITE MODELS
ELECTRIC FIELDS
ENERGY
FIELD THEORIES
INTERACTIONS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
NUCLEAR MODELS
PARTICLE INTERACTIONS
PARTICLE MODELS
PHYSICAL PROPERTIES
QUARK MODEL
SIMULATION
THERMODYNAMIC PROPERTIES