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Polyakov loop in different representations of SU(3) at finite temperature

S. Gupta·K. Huebner·O. Kaczmarek
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Abstract

We investigate the Polyakov loop in different representations of SU(3) in pure gauge at finite $T$. We discuss Casimir scaling for the Polyakov loop in the deconfined phase and test and generalize the renormalization procedure for the Polyakov loop from \cite{Kaczmarek:2002mc} to arbitrary representations. In the confined phase we extract the renormalized adjoint Polyakov loop, which is finite in the thermodynamic limit. For our numerical calculations we used the tree-level improved Symanzik action on $32^3\times 4,6,8$ lattices.

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S. Gupta, K. Huebner, O. Kaczmarek. 2006-08-22. Polyakov loop in different representations of SU(3) at finite temperature. https://doi.org/10.1016/j.nuclphysa.2006.11.160

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