Background field quantization and non-commutative Maxwell theory

Abstract

We quantize non-commutative Maxwell theory canonically in the background field gauge for weak and slowly varying background fields. We determine the complete basis for expansion under such an approximation. As an application, we derive the Wigner function which determines the leading order high temperature behavior of the perturbative amplitudes of non-commutative Maxwell theory. To leading order, we also give a closed form expression for the distribution function for the non-commutative $U(1)$ gauge theory at high temperature.

9 pages, title slightly modified, to appear in Physics Letters B

References in corpus (8)

• Noncommutative Field Theory
• Quantum Field Theory on Noncommutative Spaces
• Wilson Loops in Noncommutative Yang Mills
• Discrete Symmetries (C,P,T) in Noncommutative Field Theories
• The Meaning of Infrared Singularities in Noncommutative Gauge Theories
• From the Dyson-Schwinger to the Transport Equation in the Background Field Gauge of QCD
• The static effective action for non-commutative QED at high temperature
• Transport equation for the photon Wigner operator in non-commutative QED

Cited by in corpus (4)

• On space-time noncommutative theories at finite temperature
• Towards Noncommutative Fuzzy QED
• Heat kernel of non-minimal gauge field kinetic operators on Moyal plane
• Distribution functions for hard thermal particles in QCD