Renormalization Group Functions for the Radiative Symmetry Breaking Scheme
Chungku Kim
TL;DR
This paper derives the renormalization group functions for a massless scalar field theory with radiative symmetry breaking, connecting the effective potential in the radiative scheme to the minimal subtraction scheme through finite transformations.
Contribution
It provides a method to obtain RG functions for radiative symmetry breaking schemes from the MS scheme by finite transformations of the classical field and coupling.
Findings
RG functions for the radiative symmetry breaking scheme are explicitly calculated.
The effective potential in the radiative scheme is derived from the MS scheme.
Finite transformations relate the effective potentials and RG functions between schemes.
Abstract
We obtain the renormalization group(RG) functions for the massless scalar field theory where symmetry breaking occurs radiatively. After obtaining the effective potential for the radiative symmetry breaking scheme from that of the minimal subtraction(MS) scheme by finite transformations for the classical field and coupling constant, we calculate the corresponding change of the RG functions.
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