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Prog. Theor. Phys. Vol. 41 No. 3 (1969) pp. 788-800
Quantization of the Generalized Rarita-Schwinger Equation
Toshiei Kimura and
Kei Senba*
Research Institute for Theoretical Physics, Hiroshima University, Takehara, Hiroshima-ken
*Department of Physics, Hiroshima University, Hiroshima
(Received September 12, 1968)
Abstract:
It is shown that the gauge invariance of massless spin 3/2 field is not consistent with the vector-spinor transformation property of the field components when we start from the ordinary Rarita-Schwinger equation. The assumptions used in the proof are (i) existence of the vacuum state (ii) existence of a unitary representation of the Poincaré group and (iii) analytic behavior of the two-point function. In order to avoid the difficulty we generalize the Rarita-Schwinger equation so that redundant spin ½ parts are contained. The propagator is found with the aid of the reciprocal operator with respect to the linear operation appearing in the generalized field equation. Stueckelberg formalism is also proposed for the generalized system.
URL :
http://ptp.ipap.jp/link?PTP/41/788/
DOI : 10.1143/PTP.41.788
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