Correspondence of consistent and inconsistent spin-3/2 couplings via the equivalence theorem

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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RevTeX, 10 pages, 2 figures; text and references substantially revised, formulae unchanged

Scientific paper

10.1016/S0370-2693(01)00140-X

The Rarita-Schwinger theory of free massive spin-3/2 field obeys the physical degrees of freedom counting, and one can distinguish ``consistent'' couplings which maintain this property and ``inconsistent'' couplings which destroy it. We show how one can obtain consistent couplings from inconsistent ones by a redefinition of the spin-3/2 field. The field redefinition gives rise to additional ``contact terms'' which, via the equivalence theorem, can be associated with the contribution of the extra lower-spin degrees of freedom involved by the inconsistent coupling.

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