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Excitations of static isolated fermions in the Higgs phase of gauge Higgs theory

by Kazue Matsuyama, Jeff Greensite

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Submission summary

Authors (as registered SciPost users): Kazue Matsuyama
Submission information
Preprint Link: scipost_202112_00027v1  (pdf)
Date accepted: 2022-04-04
Date submitted: 2021-12-12 07:25
Submitted by: Matsuyama, Kazue
Submitted to: SciPost Physics Proceedings
Proceedings issue: XXXIII International Workshop on High Energy Physics (IWHEP2021)
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Theory
  • High-Energy Physics - Theory


A spectrum of localized excitations of isolated static fermions has been discovered in several different gauge Higgs theories. In lattice numerical simulations, we show that the charged elementary particles can have the spectrum of excitations in the Higgs phase of SU(3) gauge Higgs theory, q=2 Abelian Higgs theory, Landau-Ginzburg theory, and in chiral U(1) gauge Higgs theory. Possibly these excited states of the isolated fermions can be observed in ARPES studies of conventional superconductors. Also, we consider that similar kinds of excitations could exist in other gauge Higgs theories, such as the electroweak sector of the Standard Model.

Published as SciPost Phys. Proc. 6, 012 (2022)

Reports on this Submission

Anonymous Report 1 on 2022-3-27 (Invited Report)

  • Cite as: Anonymous, Report on arXiv:scipost_202112_00027v1, delivered 2022-03-27, doi: 10.21468/SciPost.Report.4786


1 - Interesting problem of exitations in the gauge theories with the Higges fields is addressed
2 - Nice presentation
3 - Results obtained might be relevant for the experimental studiws of the ordinary superconductors and for electroweak sector of the Standard Model


The paper is a review based on a few published papers. It is devoted to study of the problem of fermion excitations in different gauge Higgs theories. Four theories are considered:
SU(3) gauge Higgs model, q = 2 Abelian gauge Higgs model, effective Landau-Ginzburg model, chiral U(1) gauge Higgs model. In all four cases it is found for the first time that the first excited state of the static fermion and antifermion pair is stable while the second excited states are probably the combination of the ground state and massive photons.
These are interesting and important results relevant for experimental studies of the ordinary supeconductors and for the electroweak sector of the Standard Model. I think the paper deserves to be published.

  • validity: high
  • significance: top
  • originality: top
  • clarity: high
  • formatting: excellent
  • grammar: good

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