RIGOROUS BOUNDS FOR CRITICAL-TEMPERATURES OF O(N) SPIN MODELS BY TRANSFORMATIONS OF BLOCK SPIN TYPE

Authors
ITO KR KUGO T TAMURA H
Citation
Kr. Ito et al., RIGOROUS BOUNDS FOR CRITICAL-TEMPERATURES OF O(N) SPIN MODELS BY TRANSFORMATIONS OF BLOCK SPIN TYPE, letters in mathematical physics, 37(3), 1996, pp. 349-362
Citations number
16
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
letters in mathematical physics → ACNP
ISSN journal
03779017
Volume
37
Issue
3
Year of publication
1996
Pages
349 - 362
Database
ISI
SICI code
0377-9017(1996)37:3<349:RBFCOO>2.0.ZU;2-J
Abstract
We obtain new upper bounds of critical temperatures of N-vector (Heise nberg) models. We apply a transformation of block spin type to random walk representations of the spin models, which was developed by Frohli ch et al. more than a decade ago. Though the transformation is applied just one time, the upper bounds are considerably improved.