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

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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 θp T (θ is the noncommutative parameter) and exactly compute the static gluon self-energy for all values of θp T. We show that these gluon functions, which have a leading T² 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.