Deformation Quantization of Classical Fields

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.

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

References in corpus (2)

• String Theory and Noncommutative Geometry
• Operads and Motives in Deformation Quantization

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