Hard thermal effects in noncommutativeU(N)Yang-Mills theory

Abstract

We study the behavior of the two- and three-point thermal Green functions to one-loop order in the noncommutative $\mathrm{U}(N)$ 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 $\ensuremath{\theta}\mathrm{pT}$ $(\ensuremath{\theta}$ is the noncommutative parameter) and exactly compute the static gluon self-energy for all values of $\ensuremath{\theta}\mathrm{pT}.$ We show that these gluon functions, which have a leading ${T}^{2}$ behavior, 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.