Instabilities in Thermal Gravity with a Cosmological Constant

TL;DR

This paper investigates the stability of thermal quantum gravity with a cosmological constant, revealing that higher order thermal corrections eliminate static solutions at high temperatures, indicating potential instabilities.

Contribution

It demonstrates that higher order thermal loop corrections prevent static solutions in thermal quantum gravity with a cosmological constant at high temperatures.

Findings

Effective potential has a local minimum below a critical temperature.

Higher order thermal loops remove static solutions at high temperature.

Thermal instabilities may occur in quantum gravity models.

Abstract

It is shown that in quantum gravity at finite temperature, the effective potential evaluated in the tadpole approximation can have a local minimum below a certain critical temperature. However, when the leading higher order thermal loop corrections are included, one finds that no static solution exists at high temperature.