Abelian gauge theories on the lattice: $\theta$-Terms and compact gauge theory with(out) monopoles

DOI10.1016/j.nuclphysb.2019.114616zbMath1415.81050arXiv1901.02637OpenAlexW2909390732MaRDI QIDQ2423332

Christof Gattringer, Tin Sulejmanpasic

Publication date: 21 June 2019

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.02637

Mathematics Subject Classification ID

Unified quantum theories (81V22) Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on lattices (81T25) Theta functions and abelian varieties (14K25) Discrete version of topics in analysis (39A12) Statistical mechanics of magnetic materials (82D40)

Related Items

Density of states approach for lattice gauge theory with a \(\theta\)-term, Complex Langevin and other approaches to the sign problem in quantum many-body physics, Topological aspects of 4D abelian lattice gauge theories with the \(\theta\) parameter, Non-invertible self-duality defects of Cardy-Rabinovici model and mixed gravitational anomaly, Modified instanton sum in QCD and higher-groups, Lattice quantum villain Hamiltonians: compact scalars, U(1) gauge theories, fracton models and quantum Ising model dualities, Polyakov's confinement mechanism for generalized Maxwell theory, Non-invertible condensation, duality, and triality defects in 3+1 dimensions, DMRG study of the higher-charge Schwinger model and its 't Hooft anomaly, Four-fermion deformations of the massless Schwinger model and confinement, Complex Langevin analysis of 2D U(1) gauge theory on a torus with a \(\theta\) term, Semi-abelian gauge theories, non-invertible symmetries, and string tensions beyond \(N\)-ality, Exploring the \(\theta\)-vacuum structure in the functional renormalization group approach, Self-dual U(1) lattice field theory with a \(\theta\)-term, Phase structure of self-dual lattice gauge theories in 4d

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