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.
Author: | Joachim Maeder, Werner Rühl |
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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 |