Topological mass generation four-dimensional gauge theory

The Lagrangian of non-Abelian tensor gauge fields describes the interaction of the Yang-Mills and massless tensor bosons of increasing heliaties 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 (C) 2010 Elsevier B V All rights reserved