Scattering theory of space-time non-commutative abelian gauge field theory

Details Scattering theory of space-time non-commutative abelian gauge field theory Scattering theory of space-time non-commutative abelian gauge field theory

2004-01-03

arxiv.org/abs/hep-th/0401008v1

J.Korean Phys.Soc. 46 (2005) 781-790

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

The unitary S-matrix for the space-time non-commutative QED is constructed using the $\star$-time ordering which is needed in the presence of derivative interactions. Based on this S-matrix, perturbation theory is formulated and Feynman rule is presented. The gauge invariance is explicitly checked to the lowest order, using the Compton scattering process. The gauge fixing condition dependency of the classical solution of the vacuum is also discussed.

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