Four-point renormalized coupling constant in O(N) models

被引：47

作者：

Campostrini, M ^{[1
]}

Pelissetto, A ^{[1
]}

Rossi, P ^{[1
]}

Vicari, E ^{[1
]}

机构：

[1] IST NAZL FIS NUCL,I-56126 PISA,ITALY

来源：

NUCLEAR PHYSICS B | 1996年 / 459卷 / 1-2期

关键词：

D O I：

10.1016/0550-3213(95)00569-2

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：

The renormalized zero-momentum four-point coupling g(r) of O(N)-invariant scalar field theories in d dimensions is studied by applying the 1/N expansion and strong-coupling analysis. The O(1/N) correction to the beta-function and to the fixed point value g(r)* are explicitly computed. Strong-coupling series for lattice non-linear sigma models are analyzed near criticality in d = 2 and d = 3 for several values of N and the corresponding values of g(r)* are extracted. Large-N and strong-coupling results are compared with each other, finding a good general agreement. For small N the strong-coupling analysis in 2d gives the best determination of g(r)* to date (for N = 2, 3 it is comparable with the best Monte Carlo estimates); in 3d it is consistent with available phi(4) field theory results.

引用

页码：207 / 242

页数：36

共 52 条

[1] CRITICAL EXPONENTS FOR A 3-DIMENSIONAL O(N)-SYMMETRICAL MODEL WITH N-GREATER-THAN-3 [J].