2010/04/26 by George Savvidy · 1 citation
Physics and Astronomy · Mathematics · #hep-th #math-ph #math.MP
paper · pdf · doi:10.1134/s0081543811010196
published as Proceedings of the Steklov Institute of Mathematics, 272 (2011) 201-215 · 18 pages; Invited talk given at "Gauge Fields. Yesterday, Today, Tomorrow", Moscow 2010, in Honor of the 70-th Birthday of Andrey Slavnov
arxiv created 2010/04/26 · arxiv updated 2011/05/09
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.