Simulating (2+1)D SU(2) Yang-Mills Lattice Gauge Theory at finite density with tensor networks
Abstract
We numerically simulate a non-Abelian lattice gauge theory in two spatial dimensions, with tensor networks (TN), up to intermediate sizes (>30 matter sites) well beyond exact diagonalization. We focus on the SU(2) Yang-Mills model in Hamiltonian formulation, with dynamical matter and minimally truncated gauge field (hardcore gluon). Thanks to the TN sign-problem-free approach, we characterize the phase diagram of the model at zero and finite baryon number as a function of the quark bare mass and color charge. At intermediate system sizes, we detect a liquid phase of quark-pair bound-state quasiparticles (baryons), whose mass is finite towards the continuum limit. Interesting phenomena arise at the transition boundary where color-electric and color-magnetic terms are maximally frustrated: For low quark masses, we see traces of potential deconfinement, while for high masses, signatures of a possible topological order.
Keywords
Cite
@article{arxiv.2307.09396,
title = {Simulating (2+1)D SU(2) Yang-Mills Lattice Gauge Theory at finite density with tensor networks},
author = {Giovanni Cataldi and Giuseppe Magnifico and Pietro Silvi and Simone Montangero},
journal= {arXiv preprint arXiv:2307.09396},
year = {2024}
}
Comments
19 pages, 16 figures, published version