Standard model as the topological material

The study of the Weyl and Dirac topological materials (topological semimetals, insulators, superfluids and superconductors) opens the route for the investigation of the topological quantum vacua of relativistic fields. The symmetric phase of the standard model (SM), where both electroweak and chiral...

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Main Authors: G E Volovik, M A Zubkov
Format: Article
Language:English
Published: IOP Publishing 2017-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/aa573d
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author G E Volovik
M A Zubkov
author_facet G E Volovik
M A Zubkov
author_sort G E Volovik
collection DOAJ
description The study of the Weyl and Dirac topological materials (topological semimetals, insulators, superfluids and superconductors) opens the route for the investigation of the topological quantum vacua of relativistic fields. The symmetric phase of the standard model (SM), where both electroweak and chiral symmetry are not broken, represents the topological semimetal. The vacua of the SM (and its extensions) in the phases with broken electroweak symmetry represent the topological insulators of different types. We discuss in detail the topological invariants in both the symmetric and broken phases and establish their relation to the stability of vacuum.
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spelling doaj.art-ea4cb56e7d2b47aba946dade10a710292023-08-08T14:34:45ZengIOP PublishingNew Journal of Physics1367-26302017-01-0119101500910.1088/1367-2630/aa573dStandard model as the topological materialG E Volovik0M A Zubkov1Low Temperature Laboratory, School of Science and Technology, Aalto University , Finland; L.D. Landau Institute for Theoretical Physics , Moscow, RussiaLE STUDIUM, Loire Valley Institute for Advanced Studies , Tours and Orleans, F-45000 Orleans France; Laboratoire de Mathematiques et de Physique Theorique, Universite de Tours , F-37200 Tours, France; Institute for Theoretical and Experimental Physics , B. Cheremushkinskaya 25, Moscow, 117259, RussiaThe study of the Weyl and Dirac topological materials (topological semimetals, insulators, superfluids and superconductors) opens the route for the investigation of the topological quantum vacua of relativistic fields. The symmetric phase of the standard model (SM), where both electroweak and chiral symmetry are not broken, represents the topological semimetal. The vacua of the SM (and its extensions) in the phases with broken electroweak symmetry represent the topological insulators of different types. We discuss in detail the topological invariants in both the symmetric and broken phases and establish their relation to the stability of vacuum.https://doi.org/10.1088/1367-2630/aa573dWeyl fermionsDirac fermionstopological stabilitystandard model
spellingShingle G E Volovik
M A Zubkov
Standard model as the topological material
New Journal of Physics
Weyl fermions
Dirac fermions
topological stability
standard model
title Standard model as the topological material
title_full Standard model as the topological material
title_fullStr Standard model as the topological material
title_full_unstemmed Standard model as the topological material
title_short Standard model as the topological material
title_sort standard model as the topological material
topic Weyl fermions
Dirac fermions
topological stability
standard model
url https://doi.org/10.1088/1367-2630/aa573d
work_keys_str_mv AT gevolovik standardmodelasthetopologicalmaterial
AT mazubkov standardmodelasthetopologicalmaterial