Convergent renormalization expansions for lattice gauge theories

DOI10.1007/BF01217741zbMath0664.58050OpenAlexW1972095023MaRDI QIDQ1114983

S. H. Smith

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf01217741

zbMATH Keywords

renormalization transformationscomplete effective densitieslarge field domainssuperrenormalizable models

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Quantum field theory on lattices (81T25) Renormalization group methods applied to problems in quantum field theory (81T17) Applications of PDEs on manifolds (58J90)

Related Items (14)

Ultraviolet stability of three-dimensional lattice pure gauge field theories ⋮ Stability for QED in d = 3: An overview ⋮ Nonperturbative renormalization of scalar quantum electrodynamics in d=3 ⋮ Ultraviolet stability for QED in \(d=3\) ⋮ The leading term of the Yang-Mills free energy ⋮ The variational problem and background field in the renormalization group method for nonlinear sigma models ⋮ Multiscale block averaging for QED in d = 3 ⋮ A geometric approach to the Yang-Mills mass gap ⋮ Large field renormalization. I: The basic step of the \({\mathbb{R}}\) operation ⋮ Large field renormalization. II: Localization, exponentiation, and bounds for the \({\mathbb{R}}\) operation ⋮ The nonperturbative functional renormalization group and its applications ⋮ Neumann domination for the Yang-Mills heat equation ⋮ THE RENORMALIZATION GROUP ACCORDING TO BALABAN, I. SMALL FIELDS ⋮ Ultraviolet regularity for QED in d = 3

Cites Work

• 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
• Renormalization group approach to lattice gauge field theories. II: Cluster expansions

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