Deformation Quantization of Classical Fields

Details Deformation Quantization of Classical Fields Deformation Quantization of Classical Fields

1999-09-29

arxiv.org/abs/hep-th/9909206v3

Int.J.Mod.Phys. A16 (2001) 2533-2558

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1142/S0217751X01003652

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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