Standard Model as the topological material

Abstract

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.

arXiv comment14 pages, no figures, submitted to New Journal of Physics

References in corpus (43)

• Topological Insulators
• Topological insulators and superconductors
• Classification of topological insulators and superconductors in three spatial dimensions
• Type-II Weyl Semimetals
• Periodic table for topological insulators and superconductors
• Colloquium: Topological Band Theory
• NJL-model analysis of dense quark matter
• Color-Flavor Locking and Chiral Symmetry Breaking in High Density QCD
• A Method for Simulating Chiral Fermions on the Lattice
• Fermion Path Integrals And Topological Phases
• Fermionic Symmetry Protected Topological Phases and Cobordisms
• Classification of Topological Insulators and Superconductors
• Stability of Fermi Surfaces and K-Theory
• Bulk-boundary correspondence of topological insulators from their Green's functions
• Interacting fermionic topological insulators/superconductors in three dimensions
• Topological surface states in nodal superconductors
• Momentum creation by vortices in 3He experiments as a model of primordial baryogenesis
• Chern-Simons Currents and Chiral Fermions on the Lattice
• Symmetry Protected Topological Superfluids and Superconductors --- From the Basics to ${}^3$He ---
• Instabilities of Non-Abelian Vortices in Dense QCD
• Fermion zero modes at the boundary of superfluid 3He-B
• Color Magnetic Flux Tubes in Dense QCD
• Anomalies to All Orders
• Emergent Weyl spinors in multi-fermion systems
• Topological invariant for superfluid 3He-B and quantum phase transitions
• Global anomalies on the surface of fermionic symmetry-protected topological phases in (3+1) dimensions
• Topological superfluid 3He-B in magnetic field and Ising variable
• Dai-Freed theorem and topological phases of matter
• Spacetime as a topological insulator: Mechanism for the origin of the fermion generations
• Topological invariants for Standard Model: from semi-metal to topological insulator
• Interaction effects on 3D topological superconductors: surface topological order from vortex condensation, the 16 fold way and fermionic Kramers doublets
• Type II seesaw mechanism for Higgs doublets and the scale of new physics
• Wigner transformation, momentum space topology, and anomalous transport
• Momentum-Space Topology of Standard Model
• Topological septet pairing with spin-$\frac{3}{2}$ fermions -- high partial-wave channel counterpart of the ${}^3$He-B phase
• Confinement, chiral symmetry, and the lattice
• Momentum space topological invariants for the 4D relativistic vacua with mass gap
• Collective modes in the color flavor locked phase
• A hidden symmetry in the Standard Model
• Emergent Weyl fermions and the origin of $i=\sqrt{-1}$ in quantum mechanics
• Modified model of top quark condensation
• Momentum space topology in the lattice gauge theory
• On symmetry and topological origin of Weyl particles

Cited by in corpus (10)

• Dai-Freed anomalies in particle physics
• Chiral torsional effect
• Disorder-induced topological quantum phase transitions in multi-gap Euler semimetals
• Momentum Space Topology and Non-Dissipative Currents
• Anomalous transport phenomena and momentum space topology
• Neutrino zeromodes on electroweak strings in light of topological insulators
• Momentum space topology of QCD
• Hall conductivity of strained $Z_2$ crystals
• Extracting topological information from momentum space propagators
• Chiral anomaly in inhomogeneous systems with nontrivial momentum space topology