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

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 $\theta pT$ ($\theta$ is the noncommutative parameter) and exactly compute the static gluon self-energy for all values of $\theta pT$. 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.

This version has been accepted for publication in Phys. Rev. D (16 pages). There are small misprint corrections and the inclusion of some extra refferences

References in corpus (4)

• Noncommutative Field Theory
• Quantum Field Theory on Noncommutative Spaces
• Renormalization of noncommutative U(N) gauge theories
• Instability of Non-Commutative SYM Theories at Finite Temperature

Cited by in corpus (7)

• A scattering amplitudes approach to hard thermal loops
• On the Free Energy of Noncommutative Quantum Electrodynamics at High Temperature
• Transport equation and hard thermal loops in noncommutative Yang-Mills theory
• The static effective action for non-commutative QED at high temperature
• Classical transport equation in non-commutative QED at high temperature
• Transport equation for the photon Wigner operator in non-commutative QED
• Radiative corrections to the Chern-Simons term at finite temperature in the noncommutative Chern-Simons-Higgs model