Transport equation and hard thermal loops in noncommutative Yang-Mills theory

Details Transport equation and hard thermal loops in noncommutative Yang-Mills theory Transport equation and hard thermal loops in noncommutative Yang-Mills theory

2002-04-23

arxiv.org/abs/hep-th/0204192v1

Phys.Rev.D66:045011,2002

Physics

High Energy Physics

High Energy Physics - Theory

10 pages (revtex4)

Scientific paper

10.1103/PhysRevD.66.045011

We show that the high temperature limit of the noncommutative thermal Yang-Mills theory can be directly obtained from the Boltzmann transport equation of classical particles. As an illustration of the simplicity of the Boltzmann method, we evaluate the two and the three-point gluon functions in the noncommutative U(N) theory at high temperatures T. These amplitudes are gauge invariant and satisfy simple Ward identities. Using the constraint satisfied at order T^2 by the covariantly conserved current, we construct the hard thermal loop effective action of the noncommutative theory.

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