Star products and perturbative quantum field theory
High Energy Physics - Theory
2009-11-07 v1
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.
Cite
@article{arxiv.hep-th/0208194,
title = {Star products and perturbative quantum field theory},
author = {Allen C. Hirshfeld and Peter Henselder},
journal= {arXiv preprint arXiv:hep-th/0208194},
year = {2009}
}
Comments
12 pages