Averaging operations for lattice gauge theories

DOI10.1007/BF01211042zbMath0579.35072OpenAlexW1999851362MaRDI QIDQ1067110

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/bf01211042

zbMATH Keywords

gauge transformationslattice gauge theorieslattice gauge fieldsaveraging operationsrenormalization group transforms

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on lattices (81T25) Renormalization group methods applied to problems in quantum field theory (81T17) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (16)

The variational problem and background fields in renormalization group method for lattice gauge theories ⋮ Ultraviolet stability of three-dimensional lattice pure gauge field theories ⋮ Stability for QED in d = 3: An overview ⋮ 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 ⋮ The variational problem and background field in the renormalization group method for nonlinear sigma models ⋮ Multiscale block averaging for QED in d = 3 ⋮ Yang-Mills measure on the two-dimensional torus as a random distribution ⋮ YM\(_ 2\): Continuum expectations, lattice convergence, and lassos ⋮ THE RENORMALIZATION GROUP ACCORDING TO BALABAN, I. SMALL FIELDS ⋮ Ultraviolet regularity for QED in d = 3 ⋮ Spaces of regular gauge field configurations on a lattice and gauge fixing conditions

Cites Work

• Propagators and renormalization transformations for lattice gauge theories. I
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