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First-Principles Simulations of 1+1D Quantum Field Theories at θ=π and Spin Chains

2020/07/13 by Tin Sulejmanpašić, Tin Sulejmanpasic, Daniel Göschl +2 · 19 citations
Physics and Astronomy · #Ab initio #Algorithm #Black Holes and Theoretical Physics #Computer science #Gauge theory #Lattice (music) #Lattice field theory #Lattice gauge theory #Mathematical physics #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #cond-mat.str-el #hep-lat #hep-th

paper · pdf · doi:10.1103/physrevlett.125.201602

published in Physical Review Letters 125(20), 201602 (American Physical Society) · 7 pages, 3 figures

arxiv created 2020/07/13 · openalex created_date 2020/07/16 · openalex publication_date 2020/11/12 · arxiv updated 2020/11/18 · openalex updated_date 2026/08/06

Abstract

We present a lattice study of a 2-flavor U(1) gauge-Higgs model quantum field theory with a topological term at θ=π. Such studies are prohibitively costly in the standard lattice formulation due to the sign problem. Using a novel discretization of the model, along with an exact lattice dualization, we overcome the sign problem and reliably simulate such systems. Our work provides the first ab initio demonstration that the model is in the spin-chain universality class, and demonstrates the power of the new approach to U(1) gauge theories.

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