Rarita-Schwinger Quantum Free Field via Deformation Quantization

Foundations of Physics 42 (3):362-368 (2012)
Authors
Héctor Garcia
Universidad del Sagrado Corazón
Bryan Perez
California State University, San Marcos
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
Keywords Deformation quantization Rarita  Schwinger field
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DOI 10.1007/s10701-011-9605-9
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