Simulating (2+1)D SU(2) Yang-Mills Lattice Gauge Theory at finite density with tensor networks
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866911953413210112 |
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| author | Cataldi, Giovanni Magnifico, Giuseppe Silvi, Pietro Montangero, Simone |
| author_facet | Cataldi, Giovanni Magnifico, Giuseppe Silvi, Pietro Montangero, Simone |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_09396 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Simulating (2+1)D SU(2) Yang-Mills Lattice Gauge Theory at finite density with tensor networks Cataldi, Giovanni Magnifico, Giuseppe Silvi, Pietro Montangero, Simone High Energy Physics - Lattice Statistical Mechanics Strongly Correlated Electrons High Energy Physics - Theory Quantum Physics 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. |
| title | Simulating (2+1)D SU(2) Yang-Mills Lattice Gauge Theory at finite density with tensor networks |
| topic | High Energy Physics - Lattice Statistical Mechanics Strongly Correlated Electrons High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2307.09396 |