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arXiv · hep-th/9903106

Gauge Transformation Properties of Vector and Tensor Potentials Revisited: a Group Quantization Approach

M. Calixto·V. Aldaya
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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.

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M. Calixto, V. Aldaya. 1999-11-30. Gauge Transformation Properties of Vector and Tensor Potentials Revisited: a Group Quantization Approach. https://doi.org/10.1142/s0217751x00000744

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