Star products and perturbative quantum field theory

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.

12 pages

References in corpus (1)

• Deformation quantization in the teaching of quantum mechanics

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