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Solution to the Perturbative Infrared Catastrophe of Hot Gauge Theories

1995
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Physical Review Letters
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The free energy of a nonabelian gauge theory at high temperature T can be calculated to order g^5 using resummed perturbation theory, but the method breaks down at order g^6. A new method is developed for calculating the free energy to arbitrarily high accuracy in the high temperature limit. It involves the construction of a sequence of two effective field theories by first integrating out the momentum scale T and then integrating out the momentum scale g T. The free energy decomposes into the

doi:10.1103/physrevlett.74.2164
pmid:10057859
fatcat:z2z5x57ntjbp7mxadgst5276dq