DOUBLE SCALING LIMITS, AIRY FUNCTIONS AND MULTICRITICAL BEHAVIOR IN O(N) VECTOR SIGMA-MODELS

Authors
MAEDER J RUHL W
Citation
J. Maeder et W. Ruhl, DOUBLE SCALING LIMITS, AIRY FUNCTIONS AND MULTICRITICAL BEHAVIOR IN O(N) VECTOR SIGMA-MODELS, Nuclear physics. B, 1996, pp. 219-225
Citations number
16
Categorie Soggetti
Physics, Nuclear
Journal title
Nuclear physics. B → ACNP
ISSN journal
05503213
Year of publication
1996
Supplement
49
Pages
219 - 225
Database
ISI
SICI code
0550-3213(1996):<219:DSLAFA>2.0.ZU;2-X
Abstract
O(N) vector sigma models possessing catastrophes in their action are s tudied. Coupling the limit N --> infinity with an appropriate scaling behaviour of the coupling constants, the partition function develops a singular factor. This is a generalised Airy function in the case of s pacetime dimension zero and the partition function of a scalar field t heory for positive spacetime dimension. Susceptibility matrices and be ta functions are calculated.