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Convergence of Migdal-Kadanoff iterations: A simple and general proof

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Publication:1114888
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DOI10.1007/BF00419586zbMath0664.43004OpenAlexW1994154576MaRDI QIDQ1114888

S. H. Smith

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf00419586


zbMATH Keywords

convergenceconvolution productcompact connected Lie groupstring tensionrenormalization group transformationslattice gauge theoriesHeisenberg modelscompact connected gauge groupsKadanoff's recursionMigdal-Kadanoff iterations


Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Harmonic analysis on specific compact groups (43A75) Applications of Lie groups to the sciences; explicit representations (22E70) Renormalization group methods applied to problems in quantum field theory (81T17)


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  • Convergence of Migdal-Kadanoff iterations in nonabelian lattice gauge models
  • A spin-glass model with random couplings
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