Lattice quantum villain Hamiltonians: compact scalars, U(1) gauge theories, fracton models and quantum Ising model dualities

DOI10.1007/jhep05(2023)017arXiv2211.13047OpenAlexW4368375568MaRDI QIDQ6105223

Lucca Fazza, Tin Sulejmanpasic

Publication date: 26 June 2023

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.13047

zbMATH Keywords

duality in gauge field theoriesanomalies in field and string theorieslattice quantum field theoryother lattice field theories

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

• Anomaly matching, (axial) Schwinger models, and high-T super Yang-Mills domain walls
• Spontaneously broken subsystem symmetries
• Phase structure of self-dual lattice gauge theories in 4d
• Comments on symmetric mass generation in 2d and 4d
• An investigation of the \(J_1\)-\(J_2\)-\(J_3\) transverse Ising antiferromagnet on the honeycomb lattice with frustration
• Fractional \({\theta}\) angle, 't Hooft anomaly, and quantum instantons in charge-\(q\) multi-flavor Schwinger model
• Abelian gauge theories on the lattice: $\theta$-Terms and compact gauge theory with(out) monopoles
• Four-fermion deformations of the massless Schwinger model and confinement
• Global inconsistency, ’t Hooft anomaly, and level crossing in quantum mechanics
• Nonlinear σ model at θ=π: Euclidean lattice formulation and solid-on-solid models
• Frustrated transverse-field Ising model
• A modified Villain formulation of fractons and other exotic theories

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