English

Topological mass generation in four-dimensional gauge theory

High Energy Physics - Theory 2020-10-27 v3

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.

Keywords

Cite

@article{arxiv.1001.2808,
  title  = {Topological mass generation in four-dimensional gauge theory},
  author = {George Savvidy},
  journal= {arXiv preprint arXiv:1001.2808},
  year   = {2020}
}

Comments

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

R2 v1 2026-06-21T14:35:35.409Z