Double Scaling Limits, Airy Functions and Multicritical Behaviour in O(N) Vektor Sigma Models

  • O(N) vector sigma models possessing catastrophes in their action are studied. Coupling the limit N - > infinity with an appropriate scaling behaviour of the coupling constants, the partition function develops a singular factor. This is a generalized Airy function in the case of spacetime dimension zero and the partition function of a scalar field theory for positive spacetime dimension.

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Metadaten
Author:Joachim Maeder, Werner Rühl
URN:urn:nbn:de:hbz:386-kluedo-10320
Document Type:Preprint
Language of publication:English
Year of Completion:1995
Year of first Publication:1995
Publishing Institution:Technische Universität Kaiserslautern
Date of the Publication (Server):2000/04/06
Faculties / Organisational entities:Kaiserslautern - Fachbereich Physik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 530 Physik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011