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arXiv · 1501.03278

Lagrangian formulation of massive fermionic higher spin fields on a constant electromagnetic background

I. L. Buchbinder·V. A. Krykhtin·M. Tsulaia
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Abstract

We consider massive half-integer higher spin fields coupled to an external constant electromagnetic field in flat space of an arbitrary dimension and construct a gauge invariant Lagrangian in the linear approximation in the external field. A procedure for finding the gauge-invariant Lagrangians is based on the BRST construction where no off-shell constraints on the fields and on the gauge parameters are imposed from the very beginning. As an example of the general procedure, we derive a gauge invariant Lagrangian for a massive fermionic field with spin 3/2 which contains a set of auxiliary fields and gauge symmetries.

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I. L. Buchbinder, V. A. Krykhtin, M. Tsulaia. 2015-01-14. Lagrangian formulation of massive fermionic higher spin fields on a constant electromagnetic background. https://doi.org/10.1016/j.nuclphysb.2015.04.008

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