THE EXACT MASS GAP OF THE O(N) SIGMA-MODEL FOR ARBITRARY N-GREATER-THAN-OR-EQUAL-TO-3 IN D = 2

被引：159

作者：

HASENFRATZ, P

NIEDERMAYER, F

机构：

[1] Institute for Theoretical Physics, University of Bern, CH-3012 Bern

来源：

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

关键词：

D O I：

10.1016/0370-2693(90)90686-Z

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Starting from the exact S-matrix of the O(N) model we derive an integral equation, which determines the free energy as the function of the chemical potential coupled to a Noether charge. For N = 3 and 4 the equation agrees with that obtained earlier by Polyakov and Wiegmann with Bethe Ansatz for the related fermionic models. Using a method discussed in a recent paper by M. Maggiore and the authors, this integral equation predicts for the mass gap m = ( 8 e) 1 (N-2) × [ 1 Γ ( 1 + 1 (N - 2))] ΛMS. © 1990.

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页码：529 / 532

页数：4

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