Deformation Quantization of Classical Fields

H. Garcia-Compean; J. F. Plebanski; M. Przanowski; F. J. Turrubiates

doi:10.1142/S0217751X01003652

Deformation Quantization of Classical Fields

高能物理 - 理论 2009-10-31 v3 量子代数量子物理

作者: H. Garcia-Compean , J. F. Plebanski , M. Przanowski , F. J. Turrubiates

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摘要

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.

关键词

canonical quantization deformation quantization non-abelian gauge theory

引用

@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}
}

备注

35 pages, harvmac file, no figures, typos corrected, references added and error corrected in section 4

Deformation Quantization of Classical Fields

摘要

关键词

引用

备注

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