Large field renormalization. I: The basic step of the \({\mathbb{R}}\) operation

DOI10.1007/BF01257412zbMath0704.58059MaRDI QIDQ917131

Tadeusz Balaban

Publication date: 1989

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

zbMATH Keywords

lattice theorynon-Abelian gauge field theoryrenormalization operation

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) Spaces and manifolds of mappings (including nonlinear versions of 46Exx) (58D99)

Related Items (12)

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 ⋮ Expectation values of coherent states for SU(2) lattice gauge theories ⋮ The variational problem and background field in the renormalization group method for nonlinear sigma models ⋮ Multiscale block averaging for QED in d = 3 ⋮ Euclidean random fields obtained by convolution from generalized white noise ⋮ Large field renormalization. II: Localization, exponentiation, and bounds for the \({\mathbb{R}}\) operation ⋮ Random fields as solutions of the inhomogeneous quaternionic Cauchy- Riemann equation. I: Invariance and analytic continuation ⋮ Analytic results -- lattice and continuum ⋮ 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
• Convergent renormalization expansions for lattice gauge theories
• Renormalization group approach to lattice gauge field theories. II: Cluster expansions

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