Massive Fields of Arbitrary Half-Integer Spin in Constant Electromagnetic Field

Details Massive Fields of Arbitrary Half-Integer Spin in Constant Electromagnetic Field Massive Fields of Arbitrary Half-Integer Spin in Constant Electromagnetic Field

1998-11-03

arxiv.org/abs/hep-th/9811030v2

Int.J.Mod.Phys. A15 (2000) 609-624

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, latex, no figures, minor changes

Scientific paper

10.1142/S0217751X00000306

We study the interaction of gauge fields of arbitrary half-integer spins with the homogeneous electromagnetic field. We reduce the problem of obtaining the gauge-invariant Lagrangian and transformations of the half-integer spin fields in the external field to an algebraic problem of search for a set of operators with certain algebraical features using the representation of the higher-spin fields as vectors in a pseudo-Hilbert space. We consider such construction at linear order in the external electromagnetic field and also present an explicit form of interaction Lagrangians and gauge transformations for the massive particles of spins 3/2 and 5/2 in terms of symmetric spin-tensor fields. The obtained result is valid for space-time of arbitrary even dimension.

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