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

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

2006-08-22

arxiv.org/abs/hep-lat/0608014v1

Nucl.Phys.A785:278-281,2007

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages, 4 figures, to appear in the proceedings of International Conference on Strong & Electroweak Matter 2006, Brookhaven N

Scientific paper

10.1016/j.nuclphysa.2006.11.160

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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