Gauge dynamics in the PNJL model: Color neutrality and Casimir scaling

Details Gauge dynamics in the PNJL model: Color neutrality and Casimir scaling Gauge dynamics in the PNJL model: Color neutrality and Casimir scaling

2009-01-30

arxiv.org/abs/0901.4821v2

Phys.Lett.B676:57-62,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 5 eps figures; v2: published version

Scientific paper

10.1016/j.physletb.2009.04.078

We discuss a gauge-invariant prescription to take the mean-field approximation self-consistently in the PNJL model (Nambu--Jona-Lasinio model with the Polyakov loop). We first address the problem of non-vanishing color density in normal quark matter, which is an artifact arising from gauge-fixed treatment of the Polyakov loop mean-fields. We then confirm that the gauge average incorporated in our prescription resolves this problem and ensures color neutrality. We point out that the proposed method has an advantage in computing the expectation value of any function of the Polyakov loop matrix. We discuss the Casimir scaling as an immediate application of the method.

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