Bhabha first-order wave equations. iv. causality with minimal electromagnetic coupling
- 15 February 1976
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 13 (4), 924-941
- https://doi.org/10.1103/physrevd.13.924
Abstract
We demonstrate that the arbitrary-spin Bhabha fields with minimal electromagnetic coupling are causal in both the -number and -number theories. We first obtain the Klein-Gordon (KG) divisors in closed form in terms of the elementary symmetric functions. -number causality is easily demonstrated for half-integer spin with the Velo-Zwanziger method and for integer spin by using Wightman's suggestion involving the KG divisors. For the -number demonstration we set up an indefinite-metric second-quantized formalism, and use the above KG divisors to show causality in closed form for arbitrary spin. In both the -number and -number theories a special handling of the integer-spin subsidiary components is necessary. Our discussion focuses on the Bhabha indefinite metric and on the connection between the number of derivatives in a theory and the occurrence or nonoccurrence of causality.
Keywords
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