Ultraviolet stability of three-dimensional lattice pure gauge field theories

DOI10.1007/BF01229380zbMath0595.58047OpenAlexW2162045234MaRDI QIDQ1077787

B. George

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf01229380

zbMATH Keywords

renormalization groupthree-dimensional lattice gauge field theoriesultraviolet stabilityWilson lattice approximationYang-Mills field theories

Mathematics Subject Classification ID

Quantum field theory on lattices (81T25) Constructive quantum field theory (81T08) Renormalization group methods applied to problems in quantum field theory (81T17) Applications of PDEs on manifolds (58J90)

Related Items (19)

Unnamed Item ⋮ Stability for QED in d = 3: An overview ⋮ Stochastic quantization of Yang–Mills ⋮ 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 ⋮ Nonperturbative renormalization of scalar quantum electrodynamics in d=3 ⋮ Ultraviolet stability for QED in \(d=3\) ⋮ 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 ⋮ On thermodynamic and ultraviolet stability bounds for bosonic lattice QCD models in Euclidean dimensions d = 2,3,4 ⋮ The variational problem and background field in the renormalization group method for nonlinear sigma models ⋮ Multiscale block averaging for QED in d = 3 ⋮ The four-dimensional Yang-Mills partition function in the vicinity of the vacuum ⋮ Rigorous solution of strongly coupled \(SO(N)\) lattice gauge theory in the large \(N\) limit ⋮ YM\(_ 2\): Continuum expectations, lattice convergence, and lassos ⋮ Block averaging renormalization group for lattice and continuum Euclidean fermions: Expected and unexpected results ⋮ Block renormalization group for Euclidean fermions ⋮ THE RENORMALIZATION GROUP ACCORDING TO BALABAN, I. SMALL FIELDS ⋮ Ultraviolet regularity for QED in d = 3

Cites Work

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• A phase cell approach to Yang-Mills theory. V: Analysis of a chunk
• Propagators and renormalization transformations for lattice gauge theories. I
• 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 variational problem and background fields in renormalization group method for lattice gauge theories
• Convergent renormalization expansions for lattice gauge theories
• Ultraviolet stability in Euclidean scalar field theories
• Some probabilistic techniques in field theory

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