DOUBLE SCALING LIMITS AND AIRY FUNCTIONS FOR O(N) VECTOR SIGMA-MODELSWITH ELEMENTARY CATASTROPHES OR THE CATASTROPHE X(9)

Authors
RUHL W
Citation
W. Ruhl, DOUBLE SCALING LIMITS AND AIRY FUNCTIONS FOR O(N) VECTOR SIGMA-MODELSWITH ELEMENTARY CATASTROPHES OR THE CATASTROPHE X(9), Annals of physics, 247(2), 1996, pp. 414-444
Citations number
17
Categorie Soggetti
Physics
Journal title
Annals of physics → ACNP
ISSN journal
00034916
Volume
247
Issue
2
Year of publication
1996
Pages
414 - 444
Database
ISI
SICI code
0003-4916(1996)247:2<414:DSLAAF>2.0.ZU;2-S
Abstract
One and two vector sigma models are defined that possess catastrophes in their action. Each catastrophe defines a double scaling limit at N --> infinity. Critical indices are calculated and the Airy functions a re shown to satisfy RG equations. (C) 1996 Academic Press, Inc.