Massive Fields with Arbitrary Integer Spin in Homogeneous Electromagnetic Field

Details Massive Fields with Arbitrary Integer Spin in Homogeneous Electromagnetic Field Massive Fields with Arbitrary Integer Spin in Homogeneous Electromagnetic Field

1998-10-28

arxiv.org/abs/hep-th/9810228v2

Int.J.Mod.Phys. A15 (2000) 535

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LaTex, no figures, minor changes

Scientific paper

10.1142/S0217751X00000264

We study the interaction of gauge fields of arbitrary integer spins with the constant electromagnetic field. We reduce the problem of obtaining the gauge-invariant Lagrangian of integer spin fields in the external field to purely algebraic problem of finding a set of operators with certain features using the representation of the high-spin fields in the form of vectors in a pseudo-Hilbert space. We consider such a construction up to the second order in the electromagnetic field strength and also present an explicit form of interaction Lagrangian for a massive particle of spin $s$ in terms of symmetrical tensor fields in linear approximation. The result obtained does not depend on dimensionality of space-time.

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