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The Polyakov loop in various representations in the confined phase of QCD

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arxiv 1311.2814 v3 pith:POFPLA53 submitted 2013-11-12 hep-ph

The Polyakov loop in various representations in the confined phase of QCD

classification hep-ph
keywords looppolyakovconfinedfindphaserepresentationsrulesscaling
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We analyze the expectation value of the Polyakov loop in the fundamental and higher representations in the confined phase of QCD. We discuss a hadronic like representation, and find that the Polyakov loop corresponds to a partition function in the presence of a colored source, explaining its real and positive character. Saturating the sum rules to intermediate temperatures requires a large number of multipartonic excited states. By using constituent or bag models, we find detailed low temperature scaling rules which depart from the Casimir scaling and could be tested by lattice calculations.

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