Temperature Renormalization Group and Resummation

Abstract

The temperature renormalization group equation (TRGE) is compared with a diagrammatic expansion for the (φ4)4-theory. It is found that the one-loop TRGE resums the leading powers of temperature for the effective mass. A two-loop contribution to TRGE is required to do the leading resummation for the coupling constant. It is also shown that the higher order TRGE resums subleading powers of temperature.

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