2019/12/18 by René Sondenheimer · 1 voice
Physics and Astronomy · #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.101.056006
published as Phys. Rev. D 101, 056006 (2020) · 37 pages, 11 tables, comments on the role of operators of the first class added, comment on excitations of J=2 tensor states added and tables slightly adjusted, typos corrected
arxiv published 2019/12/18 · arxiv created 2020/03/03 · arxiv updated 2020/03/11
We apply the method proposed by Fröhlich, Morchio, and Strocchi to analyze the bound state spectrum of various gauge theories with a Brout-Englert-Higgs mechanism. These serve as building blocks for theories beyond the standard model but also stress the exceptional role of the standard model weak group. We will show how the Fröhlich-Morchio-Strocchi mechanism relates gauge-invariant bound state operators to invariant objects of the remaining unbroken gauge group after gauge fixing. In particular, this provides a strict gauge-invariant formulation of the latter in terms of the original gauge symmetry without using the terminology of spontaneous gauge symmetry breaking. We also demonstrate that the Fröhlich-Morchio-Strocchi approach allows us to put new constraints on theories beyond the standard model by pure field-theoretical considerations. Particularly the conventional construction of grand unified theories has to be rethought.