DOUBLE SCALING LIMITS AND AIRY FUNCTIONS FROM QUASI-HOMOGENEOUS SINGULARITIES OF VECTOR SIGMA-MODELS

Authors
RUHL W
Citation
W. Ruhl, DOUBLE SCALING LIMITS AND AIRY FUNCTIONS FROM QUASI-HOMOGENEOUS SINGULARITIES OF VECTOR SIGMA-MODELS, Modern physics letters A, 10(31), 1995, pp. 2353-2365
Citations number
15
Categorie Soggetti
Physics, Nuclear","Physics, Particles & Fields","Physycs, Mathematical
Journal title
Modern physics letters A → ACNP
ISSN journal
02177323
Volume
10
Issue
31
Year of publication
1995
Pages
2353 - 2365
Database
ISI
SICI code
0217-7323(1995)10:31<2353:DSLAAF>2.0.ZU;2-7
Abstract
A sufficiently large class of vector sigma models admitting r variable singularities is defined. It is shown how quasihomogeneity induces fi ltrations on algebras of functions and Lie algebras of infinitesimal d iffeomorphisms. From the filtrations, double scaling limits and Airy f unctions are derived.