Application of the O(N)-hyperspherical harmonics to the study of the continuum limits of one-dimensional sigma-models and to the generation of high-temperature expansions in higher dimensions

被引：3

作者：

Campostrini, M ^{[1
]}

Cucchieri, A ^{[1
]}

Mendes, T ^{[1
]}

Pelissetto, A ^{[1
]}

Rossi, P ^{[1
]}

Sokal, AD ^{[1
]}

Vicari, E ^{[1
]}

机构：

[1] NYU,DEPT PHYS,NEW YORK,NY 10003

来源：

NUCLEAR PHYSICS B | 1996年

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0920-5632(96)00168-5

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

In this talk we present the exact solution of the most general one-dimensional O(N)-invariant spin model taking values in the sphere S-N-1, with nearest-neighbour interactions, and we discuss the possible continuum limits. All these results are obtained using a high-temperature expansion in terms of hyperspherical harmonics. Applications in higher dimensions of the same technique are then discussed.

引用

页码：759 / 762

页数：4