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

Abstract

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.

8 pages, 4 figures, JETP Lett. style, version published in JETP Letters

References in corpus (20)

• Topological Insulators with Inversion Symmetry
• Classification of topological insulators and superconductors in three spatial dimensions
• First direct observation of Spin-textures in Topological Insulators : Spin-resolved ARPES as a probe of topological quantum spin Hall effect and Berry's phase
• Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
• Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
• Quantum Spin Hall Effect and Enhanced Magnetic Response by Spin-Orbit Coupling
• Resonantly-paired fermionic superfluids
• Another Odd Thing About Unparticle Physics
• Classification of Topological Insulators and Superconductors
• A new magnetic field dependence of Landau levels on a graphene like structure
• Tight-binding modeling and low-energy behavior of the semi-Dirac point
• Topological surface states in three-dimensional magnetic insulators
• Detecting the Majorana fermion surface state of ${}^3$He-B through spin relaxation
• Topological properties of spin-triplet superconductors and the Fermi surface topology in the normal state
• Four-dimensional graphene and chiral fermions
• Exceptional Deconfinement in G(2) Gauge Theory
• Dark Matter as the signal of Grand Unification
• Coulomb gauge gluon propagator and the Gribov formula
• Lattice model of three-dimensional topological singlet superconductor with time-reversal symmetry
• Combining infrared and low-temperature asymptotes in Yang-Mills theories

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• Topological Phase Transitions for Interacting Finite Systems
• From the adiabatic theorem of quantum mechanics to topological states of matter
• Topological phase in one-dimensional interacting fermion system
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• From Standard Model of particle physics to room-temperature superconductivity
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• Topological superfluid ${}^3$He-B: fermion zero modes on interfaces and in the vortex core
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• Andreev-Majorana bound states in superfluids
• Topological polarization, dual invariants, and surface flat band in crystalline insulators
• Elementary band representations for the single-particle Green's function of interacting topological insulators
• Fermions with cubic and quartic spectrum
• Topology of the planar phase of superfluid ${}^3$He and bulk-boundary correspondence for three dimensional topological superconductors
• Standard Model as the topological material
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• Generalized unparticles, zeros of the Green function, and momentum space topology of the lattice model with overlap fermions
• Massive Dirac fermions from holography
• Precise Wigner-Weyl calculus for lattice models
• Two roads to antispacetime in polar distorted B phase: Kibble wall and half-quantum vortex
• Fermi point in graphene as a monopole in momentum space
• Hall conductivity as topological invariant in phase space
• Discrete Wigner-Weyl calculus for the finite lattice
• Holographic quantum singularity
• Wigner - Weyl formalism and the propagator of Wilson fermions in the presence of varying external electromagnetic field
• Impurity-Induced Anomalous Thermal Hall Effect in Chiral Superconductors
• Extracting topological information from momentum space propagators
• Disordered Parity Anomalous Semimetal
• Towards a Topological Quantum Chemistry description of correlated systems: the case of the Hubbard diamond chain