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Star Products and Perturbative Quantum Field Theory

✍ Scribed by Allen C. Hirshfeld; Peter Henselder

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
110 KB
Volume
298
Category
Article
ISSN
0003-4916

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✦ Synopsis

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

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