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 λϕ4 field theory in the Coleman–Weinberg renormalization scheme d4V / dϕ4|ϕ=μ = λ (where μ 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.PACS Nos.: 11.30.Qc, 11.10.Hi, 11.15.Tk, 12.15.Lk