CRITICAL-BEHAVIOR OF SIMPLICIAL CHIRAL MODELS

Authors
BROWER RC CAMPOSTRINI M ORGINOS K ROSSI P TAN CI VICARI E
Citation
Rc. Brower et al., CRITICAL-BEHAVIOR OF SIMPLICIAL CHIRAL MODELS, Physical review. D. Particles and fields, 53(6), 1996, pp. 3230-3246
Citations number
33
Categorie Soggetti
Physics, Particles & Fields
Journal title
Physical review. D. Particles and fields → ACNP
ISSN journal
05562821
Volume
53
Issue
6
Year of publication
1996
Pages
3230 - 3246
Database
ISI
SICI code
0556-2821(1996)53:6<3230:COSCM>2.0.ZU;2-O
Abstract
The large-N saddle-point equations for the principal chiral models def ined on a (d-1)-dimensional simplex are derived from the external fiel d problem for unitary integrals. The saddle-point equations are studie d analytically and numerically in many relevant instances, including d = 4 and d --> infinity, with special attention to the critical domain , which is found to correspond to beta(c) = 1/d for all d. Related mod els (chiral chains) are discussed and large-N solutions are analyzed.