Temperature Renormalization Group and Resummation

Abstract

The temperature renormalization group equation (TRGE) is compared with a diagrammatic expansion for the $({\varphi }^4{)}_4$-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.

Comments: 17pp, LATEX and FEYNMAN, NORDITA 92/63P