Renormalization of the Higgs model: Minimizers, propagators and the stability of mean field theory

DOI10.1007/BF01206191zbMath1223.81136OpenAlexW2025565177WikidataQ59482447 ScholiaQ59482447MaRDI QIDQ642499

John Z. Imbrie, Arthur Jaffe, Tadeusz Balaban

Publication date: 27 October 2011

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

Full work available at URL: https://projecteuclid.org/euclid.cmp/1103941991

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Quantum field theory on lattices (81T25)

Related Items (18)

The U(1) Higgs model. I. The continuum limit ⋮ Unnamed Item ⋮ 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 ⋮ A low temperature expansion for classical \(N\)-vector models. I: A renormalization group flow ⋮ Ultraviolet stability for QED in \(d=3\) ⋮ Ultraviolet problems in field theory and multiscale expansions ⋮ Multiscale block averaging for QED in d = 3 ⋮ Path-space formulas for covariant gauges in Krein spaces ⋮ Analytic calculation of the 1-loop effective action for the O(N+1)-symmetric 2-dimensional nonlinear \(\sigma{}\)-model ⋮ Stochastic quantization of an abelian gauge theory ⋮ Quantum field theories of vortices and anyons ⋮ Block averaging renormalization group for lattice and continuum Euclidean fermions: Expected and unexpected results ⋮ Block renormalization group for Euclidean fermions ⋮ Mass gap in weakly coupled abelian Higgs on a unit lattice ⋮ Ultraviolet regularity for QED in d = 3 ⋮ Covariant axial gauge

Cites Work

• Regularity and decay of lattice Green's functions
• A phase cell approach to Yang-Mills theory. V: Analysis of a chunk
• Propagators and renormalization transformations for lattice gauge theories. I
• The mass gap for Higgs models on a unit lattice

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