Renormalization-Group Improved Effective Potential for Finite Grand Unified Theories in Curved Spacetime

TL;DR

This paper constructs a renormalization-group improved effective potential for finite theories in curved spacetime, revealing an exponential-like structure and exploring implications for cosmology such as curvature-induced phase transitions.

Contribution

It introduces a novel effective potential in curved spacetime for finite theories, highlighting its unique exponential form and potential cosmological applications.

Findings

Effective potential has exponential-like structure in curved spacetime.

Potential for curvature-induced phase transitions.

Implications for gravitational and cosmological constants.

Abstract

The renormalization-group improved effective potential ---to leading-log and in the linear curvature approximation--- is constructed for ``finite'' theories in curved spacetime. It is not trivial and displays a quite interesting, exponential-like structure ---in contrast with the case of flat spacetime where it coincides with the classical potential. Several possible cosmological applications, as curvature-induced phase transitions and modifications of the values of the gravitational and cosmological constants, are briefly discussed.