Background field quantization and non-commutative Maxwell theory

Details Background field quantization and non-commutative Maxwell theory Background field quantization and non-commutative Maxwell theory

2003-09-16

arxiv.org/abs/hep-th/0309165v2

Phys.Lett.B577:76-82,2003

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/j.physletb.2003.10.029

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.

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