Deformation quantization for fermionic fields
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 andWigner functionals are obtained for this field by deforming suitable Fermi oscillator variables. In additionthe propagato...
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2007 |
| Country: | México |
| Institution: | Centro de Investigación y de Estudios Avanzados del IPN |
| Repository: | Redalyc-CINVESTAV |
| OAI Identifier: | oai:redalyc.org:57066410 |
| Online Access: | https://www.redalyc.org/articulo.oa?id=57066410 https://www.redalyc.org/journal/570/57066410/ https://www.redalyc.org/journal/570/57066410/html/ https://www.redalyc.org/journal/570/57066410/57066410.epub https://www.redalyc.org/journal/570/57066410/movil |
| Access Level: | Open access |
| Keyword: | Física, Astronomía y Matemáticas Weyl Wigner Dirac field Moyal formalism Deformation quantization |
| Summary: | 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 andWigner functionals are obtained for this field by deforming suitable Fermi oscillator variables. In additionthe propagator of the Dirac field is computed in this context. |
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