The mass gap for Higgs models on a unit lattice

DOI10.1016/0003-4916(84)90121-0zbMath0583.46060OpenAlexW2122755221WikidataQ59482463 ScholiaQ59482463MaRDI QIDQ1070181

Arthur Jaffe, John Z. Imbrie, Tadeusz Balaban, David C. Brydges

Publication date: 1984

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0003-4916(84)90121-0

zbMATH Keywords

mass gapHiggs mechanismdecay properties of correlationsequivalence between the compact and non compact formulation of Abelian gauge theories on a lattice

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Miscellaneous applications of functional analysis (46N99)

Related Items (14)

Spontaneous symmetry breakdown in the abelian Higgs model ⋮ Symmetry breaking in Landau gauge. A comment to a paper by T. Kennedy and C. King ⋮ The U(1) Higgs model. I. The continuum limit ⋮ Mass gap in U(1) Higgs–Yukawa model on a unit lattice ⋮ Particle structure analysis of soliton sectors in massive lattice field theories ⋮ Ultraviolet problems in field theory and multiscale expansions ⋮ Renormalization of the Higgs model: Minimizers, propagators and the stability of mean field theory ⋮ Proof of chiral symmetry breaking in strongly coupled lattice gauge theory ⋮ On the Meissner and Abelian Higgs effects ⋮ First order phase transitions in unbounded spin systems. I: Construction of the phase diagram ⋮ Stochastic quantization of an abelian gauge theory ⋮ Quantum field theories of vortices and anyons ⋮ Mass gap in weakly coupled abelian Higgs on a unit lattice ⋮ THE RENORMALIZATION GROUP ACCORDING TO BALABAN, I. SMALL FIELDS

Cites Work

• Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators
• Absence of diffusion in the Anderson tight binding model for large disorder or low energy
• Phase transitions in 𝑃(𝜙)₂ quantum fields
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