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arXiv · 1901.04403

Tensor Network Simulation of compact one-dimensional lattice Quantum Chromodynamics at finite density

Pietro Silvi·Yannick Sauer·Ferdinand Tschirsich·Simone Montangero
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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 multi-baryon bound states, such as the deuteron.

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Pietro Silvi, Yannick Sauer, Ferdinand Tschirsich, Simone Montangero. 2019-01-14. Tensor Network Simulation of compact one-dimensional lattice Quantum Chromodynamics at finite density. https://doi.org/10.1103/physrevd.100.074512

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