Non-Abelian Tensor Gauge Fields

Details Non-Abelian Tensor Gauge Fields Non-Abelian Tensor Gauge Fields

2010-04-26

arxiv.org/abs/1004.4456v1

Proceedings of the Steklov Institute of Mathematics, 272 (2011) 201-215

Physics

High Energy Physics

High Energy Physics - Theory

18 pages; Invited talk given at "Gauge Fields. Yesterday, Today, Tomorrow", Moscow 2010, in Honor of the 70-th Birthday of And

Scientific paper

10.1134/S0081543811010196

Recently proposed extension of Yang-Mills theory contains non-Abelian tensor gauge fields. The Lagrangian has quadratic kinetic terms, as well as cubic and quartic terms describing non-linear interaction of tensor gauge fields with the dimensionless coupling constant. We analyze particle content of non-Abelian tensor gauge fields. In four-dimensional space-time the rank-2 gauge field describes propagating modes of helicity 2 and 0. We introduce interaction of the non-Abelian tensor gauge field with fermions and demonstrate that the free equation of motion for the spin-vector field correctly describes the propagation of massless modes of helicity 3/2. We have found a new 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.

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