On space-time noncommutative U(1) model at high temperature

TL;DR

This paper investigates the high-temperature behavior of noncommutative U(1) gauge theories, analyzing renormalization and free energy asymptotics, and finds that non-planar contributions are negligible at high temperatures.

Contribution

It extends previous work to include finite temperature effects in noncommutative gauge theories, providing new insights into their high-temperature asymptotics and renormalization.

Findings

Non-planar sector does not contribute to free energy at high temperature

Analyzed heat trace of photon kinetic operator on noncommutative manifold

Provided renormalization analysis using background field method

Abstract

We extend the results of Ref. [arXiv:0705.4294] to noncommutative gauge theories at finite temperature. In particular, by making use of the background field method, we analyze renormalization issues and the high-temperature asymptotics of the one-loop Euclidean free energy of the noncommutative U(1) gauge model within imaginary time formalism. As a by-product, the heat trace of the non-minimal photon kinetic operator on noncommutative $S^1 \times R^3$ manifold taken in an arbitrary background gauge is investigated. All possible types of noncommutativity on $S^1 \times R^3$ are considered. It is demonstrated that the non-planar sector of the model does not contribute to the free energy of the system at high temperature. The obtained results are discussed.