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arXiv · 2307.09396

Simulating (2+1)D SU(2) Yang-Mills Lattice Gauge Theory at finite density with tensor networks

Giovanni Cataldi·Giuseppe Magnifico·Pietro Silvi·Simone Montangero
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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.

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Giovanni Cataldi, Giuseppe Magnifico, Pietro Silvi, Simone Montangero. 2023-07-18. Simulating (2+1)D SU(2) Yang-Mills Lattice Gauge Theory at finite density with tensor networks. https://doi.org/10.1103/physrevresearch.6.033057

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