APPLICATION OF THE O(N)-HYPERSPHERICAL HARMONICS TO THE STUDY OF THE CONTINUUM LIMITS OF ONE-DIMENSIONAL SIGMA-MODELS AND TO THE GENERATIONOF HIGH-TEMPERATURE EXPANSIONS IN HIGHER DIMENSIONS

Authors
CAMPOSTRINI M CUCCHIERI A MENDES T PELISSETTO A ROSSI P SOKAL AD VICARI E
Citation
M. Campostrini et al., APPLICATION OF THE O(N)-HYPERSPHERICAL HARMONICS TO THE STUDY OF THE CONTINUUM LIMITS OF ONE-DIMENSIONAL SIGMA-MODELS AND TO THE GENERATIONOF HIGH-TEMPERATURE EXPANSIONS IN HIGHER DIMENSIONS, Nuclear physics. B, 1996, pp. 759-762
Citations number
5
Categorie Soggetti
Physics, Nuclear
Journal title
Nuclear physics. B → ACNP
ISSN journal
05503213
Year of publication
1996
Supplement
47
Pages
759 - 762
Database
ISI
SICI code
0550-3213(1996):<759:AOTOHT>2.0.ZU;2-X
Abstract
In this talk we present the exact solution of the most general one-dim ensional O(N)-invariant spin model taking values in the sphere S-N-1, with nearest-neighbour interactions, and we discuss the possible conti nuum limits. All these results are obtained using a high-temperature e xpansion in terms of hyperspherical harmonics. Applications in higher dimensions of the same technique are then discussed.