2011/12/19 by M. Botta Cantcheff, J. A. Helayël-Neto, Cantcheff, M. Botta +2
Physics and Astronomy · #Atomic and Subatomic Physics Research #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.48550/arxiv.1112.4301
22 pages, no figures. Results on the gauge invariance of the YM theory were reassessed; one section removed; references modified
openalex publication_date 2011/12/19 · arxiv created 2015/05/15 · arxiv updated 2015/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A well-defined local non-Abelian gauge connection involving a rank-p gauge B-field was introduced a decade ago. This was achieved by introducing doublet groups and doublet-assembled connections that can act on a doublet of matter fields, and so, standard gauging procedures and minimal substitutions are applicable. We provide here a summarized version of this formalism. We also build up doublet-extended gauge-invariant actions for bosonic and fermionic matter fields, and discuss the appearance of novel topological quantities in these doublet-type gauge models. A partner action for higher-spin fields appears in the doublet version of the fermionic matter sector. As an application of the proposed formalism, a gauge-invariant Chern-Simons action in four dimensions is built up; a second order quadratic Yang-Mills type action can also be defined in this doublet framework, but we show that they can only be invariant under a Lie subgroup of our extended gauge symmetry. We finally carry out the task of studying the topological mass generation mechanism in the simplest model combining these actions into a non-Abelian generalization of the Cremmer-Scherk-Kalb-Ramond theory that we also show to be power-counting renormalizable.