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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Detalles Bibliográficos
Autor: I. Galaviz
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2007
País:México
Institución:Centro de Investigación y de Estudios Avanzados del IPN
Repositorio:Redalyc-CINVESTAV
OAI Identifier:oai:redalyc.org:57066410
Acceso en línea:https://www.redalyc.org/articulo.oa?id=57066410
https://www.redalyc.org/journal/570/57066410/
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https://www.redalyc.org/journal/570/57066410/movil
Access Level:acceso abierto
Palabra clave:Física, Astronomía y Matemáticas
Weyl
Wigner
Dirac field
Moyal formalism
Deformation quantization
Descripción
Sumario: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.