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hep-th1995
Greensite-Halpern stabilization of singularities in the limit
J. Maeder, W. Ruehl
The Greensite-Halpern method of stabilizing bottomless Euclidean actions is applied to zerodimensional O(N) sigma models with unstable singularities in the limit…
hep-th1995
Sigma models with singularities in Euclidean spacetime of dimension 0<=D<4 and in the limit N->infinity
J. Maeder, W. Ruehl
For the case of the single-O()-vector linear sigma models the critical behaviour following from any singularity in the action is worked out in the double scaling limit $N…
hep-th1995
Double Scaling Limits, Airy Functions and Multicritical Behaviour in O(N) Vektor Sigma Models
J. Maeder, W. Ruehl
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…