Point particle in general background fields vs. free gauge theories of traceless symmetric tensors

Details Point particle in general background fields vs. free gauge theories of traceless symmetric tensors Point particle in general background fields vs. free gauge theories of traceless symmetric tensors

2001-10-07

arxiv.org/abs/hep-th/0110056v2

Int.J.Mod.Phys. A18 (2003) 4999-5021

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, remarks on nonlinear generalization added, a mistake in the discussion of degenerate solutions corrected

Scientific paper

10.1142/S0217751X03015830

Point particle may interact to traceless symmetric tensors of arbitrary rank. Free gauge theories of traceless symmetric tensors are constructed, that provides a possibility for a new type of interactions, when particles exchange by those gauge fields. The gauge theories are parameterized by the particle's mass m and otherwise are unique for each rank s. For m=0, they are local gauge models with actions of 2s-th order in derivatives, known in d=4 as "pure spin", or "conformal higher spin" actions by Fradkin and Tseytlin. For nonzero m, each rank-s model undergoes a unique nonlocal deformation which entangles fields of all ranks, starting from s. There exists a nonlocal transform which maps m > 0 theories onto m=0 ones, however, this map degenerates at some m > 0 fields whose polarizations are determined by zeros of Bessel functions. Conformal covariance properties of the m=0 models are analyzed, the space of gauge fields is shown to admit an action of an infinite-dimensional "conformal higher spin" Lie algebra which leaves gauge transformations intact.

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