Tensor network simulation of an SU(3) lattice gauge theory in 1D

Pietro Silvi, Yannick Sauer, Ferdinand Tschirsich, and Simone Montangero
Phys. Rev. D 100, 074512 – Published 28 October 2019

Abstract

We perform a zero temperature analysis of a non-Abelian lattice gauge model corresponding to an SU(3) Yang-Mills theory in 1+1D at low energies. Specifically, we characterize the model ground states via gauge-invariant matrix product states, identifying its phase diagram at finite density as a function of the matter-gauge interaction coupling, the quark filling, and their bare mass. Overall, we observe an extreme robustness of baryons: For positive free-field energy couplings, all detected phases exhibit colorless quasiparticles, a strong numerical hint that QCD does not deconfine in 1D. Additionally, we show that, having access to finite-density properties, it is possible to study the stability of composite particles, including multibaryon bound states such as the deuteron.

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  • Received 23 January 2019

DOI:https://doi.org/10.1103/PhysRevD.100.074512

© 2019 American Physical Society

Physics Subject Headings (PhySH)

Nuclear PhysicsQuantum Information, Science & Technology

Authors & Affiliations

Pietro Silvi1, Yannick Sauer2, Ferdinand Tschirsich2, and Simone Montangero2,3,4

  • 1Center for Quantum Physics, and Institute for Experimental Physics, University of Innsbruck and Institute for Quantum Optics and Quantum Information, Austrian Academy of Sciences, A-6020 Innsbruck, Austria
  • 2Institute for Complex Quantum Systems and Center for Integrated Quantum Science and Technologies, Universität Ulm, D-89069 Ulm, Germany
  • 3Theoretische Physik, Universität des Saarlandes, D-66123 Saarbrücken, Germany
  • 4Dipartimento di Fisica e Astronomia, Universitá degli Studi di Padova, I-35131 Padova, Italy

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Issue

Vol. 100, Iss. 7 — 1 October 2019

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