Hard Thermal Effects in Noncommutative U(N) Yang-Mills Theory

TL;DR

This paper investigates the behavior of thermal Green functions in noncommutative U(N) Yang-Mills theory at high temperatures, revealing gauge-independent properties and potential for a unique effective action formulation.

Contribution

It provides a detailed one-loop analysis of thermal Green functions in noncommutative Yang-Mills theory, including exact static gluon self-energy calculations for all noncommutative parameters.

Findings

Gluon functions exhibit leading $T^2$ behavior and are gauge independent.

Static gluon self-energy computed exactly for all $ heta p T$ values.

Results suggest the possibility of a unique hard thermal loop effective action.

Abstract

We study the behaviour of the two- and three-point thermal Green functions, to one loop order in noncommutative U(N) Yang-Mills theory, at temperatures $T$ much higher than the external momenta $p$. We evaluate the amplitudes for small and large values of the variable $\theta p T$ ($\theta$ is the noncommutative parameter) and exactly compute the static gluon self-energy for all values of $\theta p T$. We show that these gluon functions, which have a leading $T^2$ behaviour, are gauge independent and obey simple Ward identities. We argue that these properties, together with the results for the lowest order amplitudes, may be sufficient to fix uniquely the hard thermal loop effective action of the noncommutative theory.