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The Thermal Beta-Function in Yang-Mills Theory

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arxiv hep-ph/9408254 v1 pith:HONKMCXZ submitted 1994-08-09 hep-ph hep-th

classification hep-phhep-th
keywords beta-functioneffectsresultssignthermalaltersasymptoticbraaten--pisarski
verification ladder T0 review T1 audit T2 compute T3 formal
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Previous calculations of the thermal beta-function in a hot Yang--Mills gas at the one--loop level have exposed problems with the gauge dependence and with the sign, which is opposite to what one would expect for asymptotic freedom. We show that inclusion of higher--loop effects through a static Braaten--Pisarski resummation is necessary to consistently obtain the leading term, but alters the results only quantitatively. The sign, in particular, remains the same. We also explore, by a crude parameterization, the effects a (non--perturbative) magnetic mass may have on these results.

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