Two-loop effective potential in quantum field theory in curved space-time

TL;DR

This paper derives a closed-form expression for the two-loop effective potential in massless gauge theories within curved space-time, providing explicit formulas for scalar self-interacting theories and discussing implications for the Standard Model.

Contribution

It introduces a direct RG equation solution method for calculating the two-loop effective potential in curved space-time, including explicit formulas for scalar theories and insights into the Standard Model.

Findings

Closed expression for two-loop effective potential derived

Explicit formulas for scalar self-interacting theories provided

Discussion on implications for the Standard Model included

Abstract

The method of the calculation of effective potential (in linear curvature approximation and at any loop) in massless gauge theory in curved space- time by the direct solution of RG equation is given.The closed expression for two-loop effective potential is obtained.Two-loop effective potential in scalar self-interacting theory is written explicitly.Some comments about it as well as about two-loop effective potential in standard model are presented.