2003/02/28 by Tomy Scaria
Physics and Astronomy · #BRST quantization #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Gauge anomaly #Gauge boson #Gauge covariant derivative #Gauge fixing #Gauge group #Gauge symmetry #Gauge theory #Hamiltonian lattice gauge theory #Introduction to gauge theory #Lattice gauge theory #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quantum gauge theory #Supersymmetric gauge theory #Theoretical physics #hep-th
paper · pdf · doi:10.1103/physrevd.68.105013
published as Phys.Rev. D68 (2003) 105013 · Latex, 20 pages, no figures, Version to appear in Physical Review D
arxiv created 2003/08/25 · openalex publication_date 2003/11/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We examine the gauge generating nature of the translational subgroup of Wigner's little group for the case of massless tensor gauge theories and show that the gauge transformations generated by the translational group are only a subset of the complete set of gauge transformations. We also show that, just as in the case of topologically massive gauge theories, translational groups act as generators of gauge transformations in gauge theories obtained by extending massive gauge noninvariant theories by a St"uckelberg mechanism. The representations of the translational groups that generate gauge transformations in such St"uckelberg extended theories can be obtained by the method of dimensional descent. We illustrate these results with the examples of St"uckelberg extended first class versions of Proca, Einstein-Pauli-Fierz, and massive Kalb-Ramond theories in 3+1 dimensions. A detailed analysis of the partial gauge generation in massive and massless second rank symmetric gauge theories is provided. The gauge transformations generated by the translational group in two-form gauge theories are shown to explicitly manifest the reducibility of gauge transformations in these theories.