English

Symmetrization of Berezin Star Product and Path-Integral Quantization

High Energy Physics - Theory 2009-10-31 v1

Abstract

We propose a new star pruduct which interpolates the Berezin and Moyal quantization. A multiple of this product is shown to reduce to a path-integral quantization in the continuous time limit. In flat space the action becomes the one of free bosonic strings. Relation to Kontsevich prescription is also discussed.

Keywords

Cite

@article{arxiv.hep-th/9912265,
  title  = {Symmetrization of Berezin Star Product and Path-Integral Quantization},
  author = {Satoru Saito and Kazunori Wakatsuki},
  journal= {arXiv preprint arXiv:hep-th/9912265},
  year   = {2009}
}

Comments

11 pages, Latex2e