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...
Main Authors: | , |
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Format: | Article |
Language: | English |
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IOP Publishing
2017-01-01
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Series: | New Journal of Physics |
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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. |
first_indexed | 2024-03-12T16:40:01Z |
format | Article |
id | doaj.art-ea4cb56e7d2b47aba946dade10a71029 |
institution | Directory Open Access Journal |
issn | 1367-2630 |
language | English |
last_indexed | 2024-03-12T16:40:01Z |
publishDate | 2017-01-01 |
publisher | IOP Publishing |
record_format | Article |
series | New Journal of Physics |
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 |