Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-02-28
Phys.Rev. D65 (2002) 125029
Physics
High Energy Physics
High Energy Physics - Theory
This version has been accepted for publication in Phys. Rev. D (16 pages). There are small misprint corrections and the inclus
Scientific paper
10.1103/PhysRevD.65.125029
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.
Brandt Fernando T.
Frenkel Josif
McKeon Dennis G. C.
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