1/N-EXPANSION OF THE NONLINEAR SIGMA-MODEL - THE 1ST 3 ORDERS

被引：21

作者：

FLYVBJERG, H

VARSTED, S

机构：

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

来源：

NUCLEAR PHYSICS B | 1990年 / 344卷 / 03期

关键词：

D O I：

10.1016/0550-3213(90)90673-2

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 two-point function of the O(N)-symmetric non-linear σ-model is expanded in 1 N, keeping terms of three leading orders. The mass gap and the magnetic susceptibility are obtained from the two-point function. They are evaluated on square lattices for N = 3 and N = 4. The systematic errors of the 1 N series truncated after the first, second, or third term are found by using recent high-precision Monte Carlo results as bench marks. For all three truncations, we find systematic errors which are smaller than the expected magnitude of neglected terms, both for the mass gap and for the susceptibility. This result is uniform in the inverse coupling β, and valid for N as small as 3. We conclude that the 1 N series approach the exact results as rapidly as one could ever hope for. © 1990.

引用

页码：646 / 664

页数：19

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