Star products and perturbative quantum field theory

Details Star products and perturbative quantum field theory Star products and perturbative quantum field theory

2002-08-27

arxiv.org/abs/hep-th/0208194v1

Annals Phys. 298 (2002) 382-393

Physics

High Energy Physics

High Energy Physics - Theory

12 pages

Scientific paper

10.1006/aphy.2002.6251

We discuss the application of the deformation quantization approach to perturbative quantum field theory. We show that the various forms of Wick's theorem are a direct consequence of the structure of the star products. We derive the scattering function for a free scalar field in interaction with a spacetime-dependent source. We show that the translation to operator formalism reproduces the known relations which lead to the derivation of the Feynman rules.

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