Lattice standard model (Wang & Wen)

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SUMMARY

The discussion centers on the generalized lattice standard model proposed by Juven Wang and Xiao-Gang Wen, which provides a non-perturbative definition of standard models involving chiral fermions and gauge theory. The authors demonstrate that standard models derived from SO(10) and SO(18) grand unifications can be defined using a 3+1D local lattice model of bosons or qubits, while those from SU(5) can be realized through a 3+1D local lattice model of fermions. This work integrates concepts from quantum anomalies and symmetric invertible topological orders, marking a significant advancement in the unification of matter and forces through quantum information.

PREREQUISITES
  • Understanding of chiral fermions and gauge theories
  • Familiarity with quantum anomalies and cobordism theorems
  • Knowledge of grand unified theories (GUTs) such as SO(10), SO(18), and SU(5)
  • Basic concepts of lattice models in quantum physics
NEXT STEPS
  • Study the implications of the paper "A Non-Perturbative Definition of the Standard Models" by Juven Wang and Xiao-Gang Wen
  • Explore the You-Bentov-Xu paper on chiral fermions and topological insulators
  • Research the mathematical foundations of cobordism theorems in quantum field theory
  • Investigate the role of quantum information in the unification of matter and forces
USEFUL FOR

The discussion is beneficial for theoretical physicists, researchers in quantum field theory, and anyone interested in the intersection of quantum information and grand unified theories.

atyy
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There is a proposal for a generalized lattice standard model by Juven Wang and Xiao-Gang Wen. Could this be correct? I've put this under BTSM because it also mentions grand unified models.

https://arxiv.org/abs/1809.11171
A Non-Perturbative Definition of the Standard Models
Juven Wang, Xiao-Gang Wen
(Submitted on 28 Sep 2018 (v1), last revised 11 Oct 2018 (this version, v2))
The standard models contain chiral fermions coupled to gauge theory. It has been a long-standing problem to give such gauged chiral fermion theories a non-perturbative definition. Based on the classification of quantum anomalies and symmetric invertible topological orders via a mathematical cobordism theorem, and the existence of non-perturbative interactions gapping the mirror world's chiral fermions for any all-anomaly-free theory, here we show rigorously that the standard models from the SO(10) and SO(18) grand unifications (more precisely, Spin(10) and Spin(18) chiral gauge theories) can be defined non-perturbatively via a 3+1D local lattice model of bosons or qubits, while the standard models from the SU(5) grand unification can be realized by a 3+1D local lattice model of fermions. This represents a unification of Matters and Forces by Quantum Information.
 
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It reminds me of the You-Bentov-Xu paper from a few years back (cited in this work): https://arxiv.org/abs/1402.4151, where one realizes chiral fermions by considering the SM as living on the edge of a 4+1 dimensional topological insulator. I believe this was also a realization of specific GUTs rather than the vanilla SM.
 
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