Gauge transformation properties of vector and tensor potentials revisited: a group quantization approach
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URI: http://hdl.handle.net/10317/503URI: http://lanl.arxiv.org/PS_cache/hep-th/pdf/0003/0003127v1.pdf
ISSN: 0217-751X
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Matemática AplicadaPublication date
2000Publisher
World ScientificBibliographic Citation
CALIXTO MOLINA, Manuel y ALDAYA VALVERDE, Victor. Gauge transformation properties of vector and tensor potentials revisited: a group quantization approach. International Journal of Modern Physics A: 1661-1683. Enero 2000. ISSN 0217-751XKeywords
Cuantización algebraica y geométricaCohomología de grupo
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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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