Renormalization Group Determination of the Five-Loop Effective Potential for Massless Scalar Field Theory

Abstract

The five-loop effective potential and the associated summation of subleading logarithms for O(4) globally-symmetric massless $\lambda {\varphi }^4$ field theory in the Coleman-Weinberg renormalization scheme $\frac{d^{4}V}{d{\varphi }^4}{|}_{\varphi =\mu }=\lambda$ (where $\mu$ is the renormalization scale) is calculated via renormalization-group methods. An important aspect of this analysis is conversion of the known five-loop renormalization-group functions in the minimal-subtraction (MS) scheme to the Coleman-Weinberg scheme.

Comments: 5 pages. Write-up of talk given at Theory Canada III, June 2007, University of Alberta