Lagrangian formulation of massive fermionic higher spin fields on a constant electromagnetic background
- Publisher: Elsevier BV
Nuclear Physics B
(issn: 0550-3213, vol:
High Energy Physics - Theory | Nuclear and High Energy Physics
arxiv: High Energy Physics::Theory | High Energy Physics::Lattice
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.