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

## TL;DR

This paper uses tensor network methods to analyze a 1D lattice QCD model at finite density, revealing the robustness of baryons and the absence of deconfinement in this setting.

## Contribution

It introduces a tensor network approach to simulate 1D lattice QCD at finite density, providing new insights into baryon stability and phase structure.

## Key findings

- Baryons are robust and remain colorless quasiparticles.
- QCD does not deconfine in 1D at finite density.
- Finite-density analysis allows studying multi-baryon bound states.

## 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.