Helicity-1/2 Mode as a Probe of Interactions of Massive Rarita-Schwinger Field

Details Helicity-1/2 Mode as a Probe of Interactions of Massive Rarita-Schwinger Field Helicity-1/2 Mode as a Probe of Interactions of Massive Rarita-Schwinger Field

2011-11-14

arxiv.org/abs/1111.3366v1

Physics

High Energy Physics

High Energy Physics - Theory

16 pages

Scientific paper

We consider electromagnetic and gravitational interactions of a massive Rarita-Schwinger field. Stueckelberg analysis of the system, when coupled to electromagnetism in flat space or to gravity, reveals in either case that the effective field theory has a model-independent upper bound on its UV cutoff, which is finite but parametrically larger than the particle's mass. It is the helicity-1/2 mode that becomes strongly coupled at the cutoff scale. If the interactions are inconsistent, the same mode becomes a telltale evidence of pathologies. Alternatively, consistent interactions are those that propagate this mode within the light cone. Studying its dynamics not only sheds light on the Velo-Zwanziger acausality, but also elucidates why supergravity and other known consistent models are pathology-free.

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