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

J. Maeder; W. Ruehl

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arXiv · hep-th/9505131

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

J. Maeder·W. Ruehl

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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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J. Maeder, W. Ruehl. 1995-05-22. Double Scaling Limits, Airy Functions and Multicritical Behaviour in O(N) Vektor Sigma Models. https://arxiv.org/abs/hep-th/9505131

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