Abstract

GALAVIZ, I. Deformation quantization for fermionic fields. Rev. mex. fis. [online]. 2007, vol.53, suppl.4, pp.51-55. ISSN 0035-001X.

The deformation quantization of any Grassmann free field, or fermionic free field, in particular, the Dirac free field is discussed. Stratonovich-Weyl quantizer, Moyal product and Wigner functionals are obtained for this field by deforming suitable Fermi oscillator variables. In addition the propagator of the Dirac field is computed in this context.

Keywords : Deformation quantization; Weyl-Wigner-Moyal formalism; Dirac field.

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