Topological invariants for Standard Model: from semi-metal to topological insulator

G.E. Volovik

Topological invariants for Standard Model: from semi-metal to topological insulator

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arxiv 0912.0502 v6 pith:G5BNSUDS submitted 2009-12-02 hep-ph cond-mat.str-el

Topological invariants for Standard Model: from semi-metal to topological insulator

G.E. Volovik This is my paper

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We consider topological invariants describing semimetal (gapless) and insulating (gapped) states of the quantum vacuum of Standard Model and possible quantum phase transitions between these states.

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The Lifshitz transition from type-I to type-II Weyl states is equivalent to a black hole horizon, featuring a Dirac-line Fermi surface with nontrivial topological invariant and critical chiral anomaly.