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

I. L. Buchbinder, V.A. Krykhtin, Mirian 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.
    Original languageEnglish
    Pages (from-to)1-18
    Number of pages18
    JournalNuclear Physics B
    Volume896
    Issue number6
    DOIs
    Publication statusPublished - 2015

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