Gauge Transformation Properties of Vector and Tensor Potentials Revisited: a Group Quantization Approach
arXiv:hep-th/9903106 · doi:10.1142/S0217751X00000744
Abstract
The possibility of non-trivial representations of the gauge group on wavefunctionals of a gauge invariant quantum field theory leads to a generation of mass for intermediate vector and tensor bosons. The mass parameters m show up as central charges in the algebra of constraints, which then become of second-class nature. The gauge group coordinates acquire dynamics outside the null-mass shell and provide the longitudinal field degrees of freedom that massless bosons need to form massive bosons. This is a `non-Higgs' mechanism that could provide new clues for the best understanding of the symmetry breaking mechanism in unified field theories. A unified quantization of massless and massive non-Abelian Yang-Mills, linear Gravity and Abelian two-form gauge field theories are fully developed from this new approach, where a cohomological origin of mass is pointed out.
22 pages, LaTeX, no figures; final version to appear in Int. J. Mod. Phys. A