A Renormalization-Group Approach to Finite-Temperature Mass Corrections
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abstract
We illustrate how the reorganization of perturbation theory at finite
temperature can be economically cast in terms of the Wilson-Polchinski
renormalization methods. We take as an example the old saw of the induced
thermal mass of a hot scalar field with a quartic coupling, which we compute to
second order in the coupling constant. We show that the form of the result can
be largely determined by renormalization-group arguments without the explicit
evaluation of Feynman graphs.