Dimensionally regularized Polyakov loop correlators in hot QCD
Burnier, Yannis
Laine, Mikko
Vepsalainen, M.
Lattice QCD
Heavy Quark Physics
Thermal Field Theory
NLO Computations
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 data on this observable, we compute it at order O(alpha(2)(s)) in continuum, and analyze the result at various distance scales. At short distances (r << 1/pi T) the behaviour matches that of the gauge-independent zero-temperature potential; on the other hand at large distances (r << 1/pi T) the singlet free energy appears to have a gauge-fixing related power-law tail. At infinite distance the result again becomes physical in the sense that it goes over to a gauge-independent disconnected contribution, the square of the expectation value of the trace of the Polyakov loop; we recompute this quantity at O(alpha(2)(s)), finding for pure SU(N-c) a different non-logarithmic term than in previous literature, and adding for full QCD the quark contribution. We also discuss the value of the singlet free energy in a general covariant gauge, as well as the behaviour of the cyclic Wilson loop that is obtained if the singlet free energy is made gauge-independent by inserting straight spacelike Wilson lines into the observable. Comparisons with lattice data are carried out where possible.
Springer Science + Business Media
2010
info:eu-repo/semantics/article
doc-type:article
text
https://pub.uni-bielefeld.de/record/1588840
Burnier Y, Laine M, Vepsalainen M. Dimensionally regularized Polyakov loop correlators in hot QCD. <em>JHEP</em>. 2010;2010(1): 054.
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP01(2010)054
info:eu-repo/semantics/altIdentifier/issn/1029-8479
info:eu-repo/semantics/altIdentifier/issn/1029-8479
info:eu-repo/semantics/altIdentifier/wos/000273717700025
info:eu-repo/semantics/altIdentifier/arxiv/0911.3480
info:eu-repo/semantics/closedAccess