Non-Abelian tensor gauge fields |
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Authors: | George Savvidy |
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Institution: | Dipartimento di Fisica “E. Amaldi”, Università di Roma Tre, I-00146 Rome, Italy |
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Abstract: | A 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 nonlinear interaction of tensor gauge fields with the dimensionless
coupling constant. We analyze the 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 spinor-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 the massive Yang-Mills
boson, providing a gauge invariant mass gap for a four-dimensional gauge field theory. |
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