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Standard Model as the topological material

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arxiv 1608.07777 v3 pith:KFSD22QN submitted 2016-08-28 hep-ph cond-mat.other

Standard Model as the topological material

classification hep-ph cond-mat.other
keywords topologicalbrokenelectroweakinsulatorsmodelphasesstandardsymmetric
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 details the topological invariants in both symmetric and broken phases and establish their relation to the stability of vacuum.

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