Nonperturbative definition of the standard models

@article{Wang2020NonperturbativeDO,
  title={Nonperturbative definition of the standard models},
  author={Juven C. Wang and Xiao-Gang Wen},
  journal={Physical Review Research},
  year={2020}
}
The Standard Models contain chiral fermions coupled to gauge theories. It has been a long-standing problem to give such gauged chiral fermion theories a quantum non-perturbative definition. By classification of quantum anomalies and symmetric invertible topological orders via a mathematical cobordism theorem for differentiable and triangulable manifolds, and the existence of symmetric gapped boundary for the trivial symmetric invertible topological orders, we propose that Spin(10) chiral… Expand
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References

SHOWING 1-10 OF 175 REFERENCES
A lattice non-perturbative definition of an SO(10) chiral gauge theory and its induced standard model
The standard model is a chiral gauge theory where the gauge fields couple to the right-hand and the left-hand fermions differently. The standard model is defined perturbatively and describes allExpand
Solution to the 1+1 dimensional gauged chiral Fermion problem
We show that the 3450 U(1) chiral fermion theory can appear as the low energy effective field theory of a 1+1D local lattice model, with an on-site U(1) symmetry and finite-range interactions. TheExpand
On the decoupling of mirror fermions
A bstractAn approach to the formulation of chiral gauge theories on the lattice is to start with a vector-like theory, but decouple one chirality (the “mirror” fermions) using strong YukawaExpand
Symmetry-protected topological orders for interacting fermions: Fermionic topological nonlinear σ models and a special group supercohomology theory
Symmetry-protected topological (SPT) phases are gapped short-range-entangled quantum phases with a symmetry $G$, which can all be smoothly connected to the trivial product states if we break theExpand
ANOMALIES AND FERMION ZERO MODES ON STRINGS AND DOMAIN WALLS
the parity anomaly in 2n + 1 dimensions, and the Dirac index density in 2n + 2 dimensions can be understood in terms of the physics of fermion zero modes on strings and domain walls. We show that theExpand
Fermionic Finite-Group Gauge Theories and Interacting Symmetric/Crystalline Orders via Cobordisms
We formulate a family of spin Topological Quantum Field Theories (spin-TQFTs) as fermionic generalization of bosonic Dijkgraaf–Witten TQFTs. They are obtained by gauging G -equivariant invertibleExpand
An introduction to lattice gauge theory and spin systems
This article is an interdisciplinary review of lattice gauge theory and spin systems. It discusses the fundamentals, both physics and formalism, of these related subjects. Spin systems are models ofExpand
Spin TQFTs and fermionic phases of matter
We study lattice constructions of gapped fermionic phases of matter. We show that the construction of fermionic Symmetry Protected Topological orders by Gu and Wen has a hidden dependence on aExpand
Fermions, strings, and gauge fields in lattice spin models
We investigate the general properties of lattice spin models with emerging fermionic excitations. We argue that fermions always come in pairs and their creation operator always has a stringlikeExpand
On the gauge-invariant path-integral measure for the overlap Weyl fermions in 16 of SO(10)
  • Y. Kikukawa
  • Physics
  • Progress of Theoretical and Experimental Physics
  • 2019
We consider the lattice formulation of SO(10) chiral gauge theory with left-handed Weyl fermions in the 16-dimensional spinor representation ($\underline{16}$) within the framework of the overlapExpand
...
1
2
3
4
5
...