Thermal gauge theories with Lagrange multiplier fields

TL;DR

This paper investigates how Lagrange multiplier fields in thermal gauge theories restrict configurations to classical solutions, leading to doubled one-loop contributions and suppressed higher-loop corrections, while maintaining renormalizability.

Contribution

It introduces a novel approach using Lagrange multipliers in thermal gauge theories to control quantum corrections and ensure renormalizability at all temperatures.

Findings

One-loop thermal contributions are doubled.

Higher-loop radiative corrections are suppressed.

Theories remain renormalizable at all temperatures.

Abstract

We study the Yang-Mills theory and quantum gravity at finite temperature, in the presence of Lagrange multiplier fields. These restrict the path integrals to field configurations which obey the classical equations of motion. This has the effect of doubling the usual one--loop thermal contributions and of suppressing all radiative corrections at higher loop order. Such theories are renormalizable at all temperatures. Some consequences of this result in quantum gravity are briefly examined.