2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/54209O(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.14 pages, LaTexHigh Energy Physics - Theorytext