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arXiv:1901.04403 · Physical review. D/Physical review. D.

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

Pietro Silvi, Yannick Sauer, Ferdinand Tschirsich, Simone Montangero

Published Oct 28, 2019• 38 citations
arXivHTMLPDF

Abstract

We perform a zero temperature analysis of a non-Abelian lattice gauge model corresponding to an SU(3) Yang-Mills theory in $1+1\mathrm{D}$ 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.

DOI
10.1103/physrevd.100.074512

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