paper

Topological mass generation in four-dimensional gauge theory

arXiv:1001.2808 · doi:10.1016/j.physletb.2010.09.036

Abstract

The Lagrangian of non-Abelian tensor gauge fields describes the interaction of the Yang-Mills and massless tensor bosons of increasing helicities. We have found a metric-independent gauge invariant density which is a four-dimensional analog of the Chern-Simons density. The Lagrangian augmented by this Chern-Simons-like invariant describes massive Yang-Mills boson, providing a gauge-invariant mass gap for a four-dimensional gauge field theory. We present invariant densities which can provide masses to the high rank tensor bosons.

18 pages, Note added addressing the question of minimal number of derivarives in the cubic vertices for high spin fields, references added

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