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Rarita-Schwinger Quantum Free Field via Deformation Quantization

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Abstract

Rarita-Schwinger (RS) quantum free field is reexamined in the context of deformation quantization (DQ). It is interesting to consider this alternative for the specific case of the spin 3/2 field because DQ avoids the problem of dealing from the beginning with the extra degrees of freedom which appears in the conventional canonical quantization. It is found out that the subsidiary condition does not introduce any change either in the Wigner function or in other aspects of the Weyl-Wigner-Groenewold-Moyal formalism, such as: the Stratonovich-Weyl quantizer and normal ordering, in relation to de Dirac field case. The RS propagator is also calculated within this framework.

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Acknowledgements

The research of B.C.P. is supported by a CLAF-ICyTDF postdoctoral fellowship. The research of H.G.-C. is supported in part by a CONACyT grant 128761.

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  1. Departamento de Física, Centro de Investigación y de Estudios Avanzados del IPN, P.O. Box 14-740, 07000, México D.F., México

    B. Carballo Pérez & H. García-Compeán

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  1. B. Carballo Pérez
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  2. H. García-Compeán
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Correspondence to H. García-Compeán.

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Carballo Pérez, B., García-Compeán, H. Rarita-Schwinger Quantum Free Field via Deformation Quantization. Found Phys 42, 362–368 (2012). https://doi.org/10.1007/s10701-011-9605-9

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  • DOI: https://doi.org/10.1007/s10701-011-9605-9

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