Standard model as the topological material

Research output: Contribution to journalArticle


Research units

  • Landau Institute for Theoretical Physics
  • Alikhanov Institute for Theoretical and Experimental Physics
  • Université de Tours


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.


Original languageEnglish
Article number015009
Pages (from-to)1-13
JournalNew Journal of Physics
Issue number1
Publication statusPublished - 1 Jan 2017
MoE publication typeA1 Journal article-refereed

    Research areas

  • Dirac fermions, standard model, topological stability, Weyl fermions

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