期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 3, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP03(2013)069
关键词
Wilson; 't Hooft and Polyakov loops; Thermal Field Theory; QCD; Renormalization Regularization and Renormalons
资金
- DFG [BR 4058/1-1.]
- Natural Science and Engineering Research Council of Canada
- Institute of Particle Physics Theory Fellowship
- Global Cluster of Excellence (GCOE) in Bilateral International Exchange Program (BIEP))
In 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 calculate the perturbative expansion of the cyclic Wilson loop up to order g(4). At this order and after charge renormalization, the cyclic Wilson loop is known to be ultraviolet divergent. We show that the divergence is not associated with cusps in the contour but is instead due to the contour intersecting itself because of the periodic boundary conditions. One consequence of this is that the cyclic Wilson loop mixes under renormalization with the correlator of two Polyakov loops. The resulting renorrnalization equation is tested up to order g(6) and used to resum the leading logarithms associated with the intersection divergence. Implications for lattice studies of this operator, which may be relevant for the phenomenology of quarkonium at finite temperature, are discussed.
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