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arXiv · hep-th/0208194

Star products and perturbative quantum field theory

Allen C. Hirshfeld·Peter Henselder
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Abstract

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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Allen C. Hirshfeld, Peter Henselder. 2002-08-27. Star products and perturbative quantum field theory. https://doi.org/10.1006/aphy.2002.6251

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