Deformation Quantization of Classical Fields
High Energy Physics - Theory
2009-10-31 v3 Quantum Algebra
Quantum Physics
Abstract
We study the deformation quantization of scalar and abelian gauge classical free fields. Stratonovich-Weyl quantizer, star-products and Wigner functionals are obtained in field and oscillator variables. Abelian gauge theory is particularly intriguing since Wigner functional is factorized into a physical part and other one containing the constraints only. Some effects of non-trivial topology within deformation quantization formalism are also considered.
Cite
@article{arxiv.hep-th/9909206,
title = {Deformation Quantization of Classical Fields},
author = {H. Garcia-Compean and J. F. Plebanski and M. Przanowski and F. J. Turrubiates},
journal= {arXiv preprint arXiv:hep-th/9909206},
year = {2009}
}
Comments
35 pages, harvmac file, no figures, typos corrected, references added and error corrected in section 4