The variational problem and background fields in renormalization group method for lattice gauge theories

DOI10.1007/BF01229381zbMath0594.58026MaRDI QIDQ1077032

B. George

Publication date: 1985

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

zbMATH Keywords

lattice gauge theoryminimal configurationbackground fieldregular gauge field configurations

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Constructive quantum field theory (81T08)

Related Items (17)

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 ⋮ Continuum limit of a hierarchical SU(2) lattice gauge theory in 4 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 ⋮ The variational problem and background field in the renormalization group method for nonlinear sigma models ⋮ Multiscale block averaging for QED in d = 3 ⋮ Rigorous solution of strongly coupled \(SO(N)\) lattice gauge theory in the large \(N\) limit ⋮ Analytic calculation of the 1-loop effective action for the O(N+1)-symmetric 2-dimensional nonlinear \(\sigma{}\)-model ⋮ Quantum field theories of vortices and anyons ⋮ YM\(_ 2\): Continuum expectations, lattice convergence, and lassos ⋮ THE RENORMALIZATION GROUP ACCORDING TO BALABAN, I. SMALL FIELDS ⋮ Ultraviolet regularity for QED in d = 3 ⋮ Propagators and renormalization transformations for lattice gauge theories. I

Cites Work

• 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

This page was built for publication: The variational problem and background fields in renormalization group method for lattice gauge theories