SCALING VERSUS ASYMPTOTIC SCALING IN THE NONLINEAR SIGMA-MODEL IN 2D - CONTINUUM VERSION

被引：15

作者：

FLYVBJERG, H

机构：

[1] Niels Bohr Institute, University of Copenhagen, DK-2100 Copenhagen Ø

来源：

PHYSICS LETTERS B | 1990年 / 245卷 / 3-4期

关键词：

D O I：

10.1016/0370-2693(90)90687-2

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The two-point function of the O(N)-symmetric non-linear σ-model in two dimensions is large-N expanded and renormalized, neglecting terms of O( 1 N2). At finite cut-off, universal, analytical expressions relate the magnetic susceptibility and the dressed mass to the bare coupling. Removing the cut-off, a similar relation gives the renormalized coupling as a function of the mass gap. In the weak-coupling limit these relations reproduce the results of renormalization group improved weak-coupling perturbation theory to two-loop order. The constant left unknown, when the renormalization group is integrated, is determined here. The approach to asymptotic scaling is studied for various values of N. © 1990.

引用

页码：533 / 544

页数：12

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