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

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

1995-05-22

arxiv.org/abs/hep-th/9505131v1

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, LaTex

Scientific paper

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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