Thermal effects in perturbative noncommutative gauge theories

TL;DR

This paper investigates the thermodynamics of noncommutative gauge theories, calculating quantum corrections to free energy and analyzing effects of noncommutativity at different temperature regimes.

Contribution

It provides the first quantum correction to the free energy in noncommutative U(1) gauge theory and evaluates two-loop effects in U(N) theories, highlighting noncommutativity influences.

Findings

Infrared regularity due to noncommutativity scale

Quantum correction to free energy at high and low temperatures

Dependence of two-loop free energy on noncommutativity parameter

Abstract

The thermodynamics of gauge theories on the noncommutative plane is studied in perturbation theory. For U(1) noncommutative Yang-Mills we compute the first quantum correction to the ideal gas free energy density and study their behavior in the low and high temperature regimes. Since the noncommutativity scale effectively cutoff interactions at large distances, the theory is regular in the infrared. In the case of U(N) noncommutative Yang-Mills we evaluate the two-loop free energy density and find that it depends on the noncommutativity parameter through the contribution of non-planar diagrams.