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Renormalization of Polyakov loops in fundamental and higher representations
arXiv: 0710.2277
We compare two renormalization procedures, one based on the short distance behavior of heavy quark-antiquark free energies and the other by using bare Polyakov loops at different temporal extent of the lattice and find that both prescriptions are equivalent, resulting in renormalization constants that depend on the bare coupling. Furthermore these renormalization constants show Casimir scaling for higher representations of the Polyakov loops. The analysis of Polyakov loops in different representations of the color SU(3) group indicates that a simple perturbative inspired relation in terms of the quadratic Casimir operator is realized to a good approximation at temperatures $T \gsim T_c$ for renormalized as well as bare loops. In contrast to a vanishing Polyakov loop in representations with non-zero triality in the confined phase, the adjoint loops are small but non-zero even for temperatures below the critical one. The adjoint quark-antiquark pairs exhibit screening. This behavior can be related to the binding energy of gluelump states.
7 pages, 11 figures. Presented at 25th International Symposium on Lattice Field Theory, Regensburg, Germany, 30 Jul - 4 Aug 2007
- University of North Texas United States
- Bielefeld University Germany
- University of North Texas United States
- Tata Institute of Fundamental Research India
- Tata Institute of Fundamental Research India
Binding Energy, Renormalization, Casimir Operators, High Energy Physics - Lattice (hep-lat), Antiparticles, Quarks, Approximations, FOS: Physical sciences, 72 Physics Of Elementary Particles And Fields, Lattice Field Theory, High Energy Physics - Phenomenology, High Energy Physics - Lattice, High Energy Physics - Phenomenology (hep-ph), Su-3 Groups, Free Energy
Binding Energy, Renormalization, Casimir Operators, High Energy Physics - Lattice (hep-lat), Antiparticles, Quarks, Approximations, FOS: Physical sciences, 72 Physics Of Elementary Particles And Fields, Lattice Field Theory, High Energy Physics - Phenomenology, High Energy Physics - Lattice, High Energy Physics - Phenomenology (hep-ph), Su-3 Groups, Free Energy
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