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Prog. Theor. Phys. Vol. 63 No. 4 (1980) pp. 1413-1428

Quantization of a Spin-3/2 Field Interacting with the Electromagnetic Field

Kazuhiko Inoue, Minoru Omote and Masanori Kobayashi^*

Institute of Physics, University of Tsukuba, Ibaraki 305
^*Department of Physics, Gifu University, Gifu 502

(Received November 26, 1979)

Abstract:

Quantization of the Rarita-Schwinger field interacting with the internal (external) electromagnetic field is made by using the Dirac-Casalbuoni method. The generators of the Poincaré group are explicitly given when the electromagnetic field is quantized. The commutator of the symmetric energy-momentum densities is also obtained. When the external electromagnetic field is coupled to the Rarita-Schwinger field, some of the constraint equations have explicit time-dependence. We develop the Dirac formalism for the system with time-dependent constraints. The result turns out to be that the Johnson-Sudarshan disease associated with the equal-time anti-commutation relations still exists, so far the electromagnetic field is coupled through the minimal interaction.

URL : http://ptp.ipap.jp/link?PTP/63/1413/
DOI : 10.1143/PTP.63.1413

[ Full Text PDF : FREE ACCESS (933K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 75 No. 4 (1986) pp. 993-995 :

   Rarita-Schwinger Paradoxes as a Common Disease in Constrained Systems

   Masanori Kobayashi and Yasushi Takahashi

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