Transport equation for the photon Wigner operator in non-commutative QED

Abstract

We derive an exact quantum equation of motion for the photon Wigner operator in non-commutative QED, which is gauge covariant. In the classical approximation, this reduces to a simple transport equation which describes the hard thermal effects in this theory. As an example of the effectiveness of this method we show that, to leading order, this equation generates in a direct way the Green amplitudes calculated perturbatively in quantum field theory at high temperature.

13 pages, twocolumn revtex4 style

References in corpus (29)

• String Theory and Noncommutative Geometry
• Noncommutative Field Theory
• Quantum Field Theory on Noncommutative Spaces
• Noncommutative Perturbative Dynamics
• Magnetic fields, branes and noncommutative geometry
• Soft Collective Excitations in Hot Gauge Theories
• Classical Transport Theory and Hard Thermal Loops in the Quark-Gluon Plasma
• Comments on Perturbative Dynamics of Non-Commutative Yang-Mills Theory
• Discrete Symmetries (C,P,T) in Noncommutative Field Theories
• Semi-classical transport theory for non-Abelian plasmas
• Deriving the Hard Thermal Loops of QCD from Classical Transport Theory
• Open Strings in a B-field Background as Electric Dipoles
• Renormalization of noncommutative U(N) gauge theories
• The Meaning of Infrared Singularities in Noncommutative Gauge Theories
• High Temperature Response Functions and the Non-Abelian Kubo Formula
• Evidence for Winding States in Noncommutative Quantum Field Theory
• Energy-Momentum Tensors for the Quark-Gluon Plasma
• Instability of Non-Commutative SYM Theories at Finite Temperature
• Hard Thermal Loops, Gauged WZNW Action and the Energy of Hot Quark-Gluon Plasma
• Excitations in Hot Non-Commutative Theories
• Hamiltonian Analysis of the Effective Action for Hard Thermal Loops in QCD
• Thermal effects in perturbative noncommutative gauge theories
• The Interplay Between $\theta$ and T
• On non-commutative N=2 super Yang-Mills
• Dynamical Breaking of Supersymmetry in Noncommutative Gauge Theories
• Noncommutativity and Model Building
• Transport equation and hard thermal loops in noncommutative Yang-Mills theory
• Classical transport equation in non-commutative QED at high temperature
• Hard Thermal Effects in Noncommutative U(N) Yang-Mills Theory

Cited by in corpus (4)

• On space-time noncommutative theories at finite temperature
• Towards Noncommutative Fuzzy QED
• Background field quantization and non-commutative Maxwell theory
• Classical Boltzmann equation and high-temperature QED