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RG flow of the Polyakov-loop potential: First status report

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arxiv hep-ph/0610341 v1 pith:CF4TJKHR submitted 2006-10-25 hep-ph

RG flow of the Polyakov-loop potential: First status report

classification hep-ph
keywords potentialeffectivepolyakov-loopfirstfluctuationsreportstatusaddition
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study SU(2) Yang-Mills theory at finite temperature in the framework of the functional renormalization group. We concentrate on the effective potential for the Polyakov loop which serves as an order parameter for confinement. In this first status report, we focus on the behaviour of the effective Polyakov-loop potential at high temperatures. In addition to the standard perturbative result, our findings provide information about the ``RG improved'' backreactions of Polyakov-loop fluctuations on the potential. We demonstrate that these fluctuations establish the convexity of the effective potential.

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