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arXiv · hep-th/9909206

Deformation Quantization of Classical Fields

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

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H. Garcia-Compean, J. F. Plebanski, M. Przanowski, F. J. Turrubiates. 2000-02-11. Deformation Quantization of Classical Fields. https://doi.org/10.1142/s0217751x01003652

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