Double Scaling Limits, Airy Functions and Multicritical Behaviour in O(N) Vektor Sigma Models
J. Maeder, W. Ruehl
Abstract
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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