Double scaling limits and Airy functions for \(O(N)\) vector sigma models with elementary catastrophes or the catastrophe \(X_ 9\)

DOI10.1006/APHY.1996.0046zbMath0873.58074OpenAlexW2073929899MaRDI QIDQ1356919

Werner Rühl

Publication date: 16 June 1997

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

Full work available at URL: https://doi.org/10.1006/aphy.1996.0046

zbMATH Keywords

sigma modelscatastrophesAiry functionsdouble scaling limit

Mathematics Subject Classification ID

Model quantum field theories (81T10) Statistical mechanics of polymers (82D60) Applications of global analysis to the sciences (58Z05) Renormalization group methods applied to problems in quantum field theory (81T17)

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Double scaling limits, Airy functions and multicritical behaviour in \(\text{O}(N)\) vector sigma models

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