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

Tin Sulejmanpasic, Daniel Göschl, and Christof Gattringer
Phys. Rev. Lett. 125, 201602 – Published 12 November 2020
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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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  • Received 7 August 2020
  • Accepted 13 October 2020

DOI:https://doi.org/10.1103/PhysRevLett.125.201602

© 2020 American Physical Society

Physics Subject Headings (PhySH)

Interdisciplinary PhysicsCondensed Matter, Materials & Applied PhysicsNuclear PhysicsParticles & Fields

Authors & Affiliations

Tin Sulejmanpasic1,*, Daniel Göschl2,†, and Christof Gattringer2,‡

  • 1Department of Mathematical Sciences, Durham University, DH1 3LE Durham, United Kingdom
  • 2University of Graz, Institute for Physics, A-8010 Graz, Austria

  • *tin.sulejmanpasic@durham.ac.uk
  • daniel.goeschl@uni-graz.at
  • christof.gattringer@uni-graz.at

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Issue

Vol. 125, Iss. 20 — 13 November 2020

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