English

From geometric quantization to Moyal quantization

High Energy Physics - Theory 2009-10-28 v1

Abstract

We show how the Moyal product of phase-space functions, and the Weyl correspondence between symbols and operator kernels, may be obtained directly using the procedures of geometric quantization, applied to the symplectic groupoid constructed by ``doubling'' the phase space.

Cite

@article{arxiv.hep-th/9406170,
  title  = {From geometric quantization to Moyal quantization},
  author = {Jose M. Gracia-Bondia and Joseph C. Varilly},
  journal= {arXiv preprint arXiv:hep-th/9406170},
  year   = {2009}
}

Comments

7 two-column pages, RevTeX, UCR--FM--03--94