Convergence of \(\text{U}(1)_ 3\) lattice gauge theory to its continuum limit

DOI10.1007/BF01210842zbMath0571.60011MaRDI QIDQ1061405

Leonard Gross

Publication date: 1983

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

lattice gauge theoryWilson actionEuclidean electromagnetic fieldLattice approximationsVillain action

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on lattices (81T25)

Related Items

Stochastic quantization of Yang–Mills ⋮ U(1) gauge theory on a torus ⋮ Convergence of the \(U(1)_ 4\) lattice gauge theory to its continuum limit ⋮ The leading term of the Yang-Mills free energy ⋮ Ultraviolet problems in field theory and multiscale expansions ⋮ Wilson loops in Ising lattice gauge theory ⋮ The Yang-Mills heat semigroup on three-manifolds with boundary ⋮ A state space for 3D Euclidean Yang-Mills theories ⋮ Construction of convergent simplicial approximations of quantum fields on Riemannian manifolds ⋮ Path-space formulas for covariant gauges in Krein spaces ⋮ Rigorous solution of strongly coupled \(SO(N)\) lattice gauge theory in the large \(N\) limit ⋮ A Poincaré lemma for connection forms ⋮ Stochastic quantization of an abelian gauge theory ⋮ YM\(_ 2\): Continuum expectations, lattice convergence, and lassos ⋮ Conformal field theory and the hot phase of three-dimensional U(1) gauge theory ⋮ A convergent lattice approximation for nonlinear electromagnetic fields in four dimensions

Cites Work

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