ON THE LARGE-DISTANCE BEHAVIOR OF CORRELATIONS FOR A HIERARCHICAL N-COMPONENT CLASSICAL VECTOR MODEL IN 3 DIMENSIONS

Authors
DAVEIGA PAF OCARROLL M SCHOR R
Citation
Paf. Daveiga et al., ON THE LARGE-DISTANCE BEHAVIOR OF CORRELATIONS FOR A HIERARCHICAL N-COMPONENT CLASSICAL VECTOR MODEL IN 3 DIMENSIONS, Journal of statistical physics, 92(1-2), 1998, pp. 47-55
Citations number
11
Categorie Soggetti
Physycs, Mathematical","Physycs, Mathematical
Journal title
Journal of statistical physics → ACNP
ISSN journal
00224715
Volume
92
Issue
1-2
Year of publication
1998
Pages
47 - 55
Database
ISI
SICI code
0022-4715(1998)92:1-2<47:OTLBOC>2.0.ZU;2-X
Abstract
We consider the correlation functions for a hierarchical N-component c lassical vector model in three dimensions. For N = infinity, we find e xplicitly the eigenvalues and global eigenfunctions of the linearized renormalization group transformation. In a very direct way, this yield s the correlation functions for the N = infinity model. In particular, we check that the two-point function has canonical decay.