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

Abstract

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.

10 pages (revtex4)

References in corpus (8)

• Noncommutative Field Theory
• Noncommutative Gauge Field Theories: A No-Go Theorem
• UV/IR Mixing via Closed Strings and Tachyonic Instabilities
• The Meaning of Infrared Singularities in Noncommutative Gauge Theories
• Instability of Non-Commutative SYM Theories at Finite Temperature
• On non-commutative N=2 super Yang-Mills
• Dynamical Breaking of Supersymmetry in Noncommutative Gauge Theories
• Hard Thermal Effects in Noncommutative U(N) Yang-Mills Theory

Cited by in corpus (7)

• Electromagnetic Strings: Complementarity between Time and Temperature
• A scattering amplitudes approach to hard thermal loops
• 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
• Classical Boltzmann equation and high-temperature QED