Singular symplectic cotangent bundle reduction of gauge field theory
Mathematical Physics
2020-10-23 v2 Differential Geometry
math.MP
Symplectic Geometry
Abstract
We prove a theorem on singular symplectic cotangent bundle reduction in the Fr\'echet setting and apply it to Yang-Mills-Higgs theory with special emphasis on the Higgs sector of the Glashow-Weinberg-Salam model. For the latter model we give a detailed description of the reduced phase space and show that the singular structure is encoded in a finite-dimensional Lie group action.
Keywords
Cite
@article{arxiv.1812.04707,
title = {Singular symplectic cotangent bundle reduction of gauge field theory},
author = {Tobias Diez and Gerd Rudolph},
journal= {arXiv preprint arXiv:1812.04707},
year = {2020}
}
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