Convergence of the \(U(1)_ 4\) lattice gauge theory to its continuum limit

DOI10.1007/BF01212424zbMath0638.58031MaRDI QIDQ1099461

Bruce K. Driver

Publication date: 1987

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

zbMATH Keywords

lattice gauge theorylattice modelGibb stateWilson energy function

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Constructive quantum field theory (81T08)

Related Items

Stochastic quantization of Yang–Mills ⋮ U(1) gauge theory on a torus ⋮ On thermodynamic and ultraviolet stability bounds for bosonic lattice QCD models in Euclidean dimensions d = 2,3,4 ⋮ A state space for 3D Euclidean Yang-Mills theories ⋮ Construction of convergent simplicial approximations of quantum fields on Riemannian manifolds ⋮ Stochastic quantization of an abelian gauge theory ⋮ YM\(_ 2\): Continuum expectations, lattice convergence, and lassos ⋮ A convergent lattice approximation for nonlinear electromagnetic fields in four dimensions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Poincaré lemma for connection forms
• Regularity and decay of lattice Green's functions
• Convergence of \(\text{U}(1)_ 3\) lattice gauge theory to its continuum limit
• Propagators and renormalization transformations for lattice gauge theories. I
• Propagators and renormalization transformations for lattice gauge theories. II
• Averaging operations for lattice gauge theories
• Spaces of regular gauge field configurations on a lattice and gauge fixing conditions
• Propagators for lattice gauge theories in a background field
• The U(1) Higgs model. I. The continuum limit
• The U(1) Higgs model. II. The infinite volume limit
• The variational problem and background fields in renormalization group method for lattice gauge theories
• Ultraviolet stability of three-dimensional lattice pure gauge field theories
• Renormalization group approach to lattice gauge field theories. I: Generation of effective actions in a small field approximation and a coupling constant renormalization in four dimensions
• A remark on Dobrushin's uniqueness theorem
• Decay of correlations in classical lattice models at high temperature
• A covariance estimate for Gibbs measures
• Sufficient statistics and extreme points
• Prescribing a System of Random Variables by Conditional Distributions