Renormalization of Polyakov loops in fundamental and higher representations

Kaczmarek, Olaf ; Gupta, Sourendu ; Hübner, Kay (2007) Renormalization of Polyakov loops in fundamental and higher representations PoS - Proceedings of Science . 195_1-195_7. ISSN 1824-8039

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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≳Tc 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.

Item Type:Article
Source:Copyright of this article belongs to SISSA, Scuola Internazionale Superiore di Studi Avanzati.
ID Code:75072
Deposited On:21 Dec 2011 10:22
Last Modified:18 May 2016 19:15

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