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High Energy Physics - Theory
Title: A Non-Perturbative Definition of the Standard Models
(Submitted on 28 Sep 2018 (v1), revised 11 Oct 2018 (this version, v2), latest version 3 Apr 2020 (v3))
Abstract: 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.
Submission history
From: Juven C. Wang [view email][v1] Fri, 28 Sep 2018 17:59:38 GMT (18kb,D)
[v2] Thu, 11 Oct 2018 17:38:39 GMT (19kb,D)
[v3] Fri, 3 Apr 2020 17:54:00 GMT (162kb,D)
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