THE EXACT MASS GAP OF THE O(3) AND O(4) NONLINEAR SIGMA-MODELS IN D=2

被引：209

作者：

HASENFRATZ, P

MAGGIORE, M

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)90685-Y

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

By comparing the Bethe Ansatz solution with perturbation theory we obtain the exact results m = 8 e ΛMS and m = ( 32 πe) 1 2 ΛMS for the O(3) and O(4) non-linear σ-models, respectively. Here ΛMS is the renormalization group invariant scale in the MS scheme. © 1990.

引用

页码：522 / 528

页数：7

共 50 条

[1] MASS GAP OF O(N) SIGMA-MODELS IN 2D - SUPPORT FOR EXACT RESULTS FROM 1/N-EXPANSION
FLYVBJERG, H
LARSEN, F
PHYSICS LETTERS B, 1991, 266 (1-2) : 92 - 98
[2] ASYMPTOTIC SCALING IN 2D O(N) NONLINEAR SIGMA-MODELS
WOLFF, U
PHYSICS LETTERS B, 1990, 248 (3-4) : 335 - 339
[3] EXACT SOLUTION OF THE NONLINEAR SIGMA-MODELS
WIEGMANN, P
HELVETICA PHYSICA ACTA, 1986, 59 (05): : 907 - 908
[4] Mass gap in the 2D O(3) nonlinear sigma model with a θ = π term
Alles, B.
Papa, A.
PHYSICAL REVIEW D, 2008, 77 (05):
[5] ANALYTIC CALCULATION OF THE MASS GAP IN O(N) NON-LINEAR SIGMA-MODELS
LUSCHER, M
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1984, 103 (1-4): : 233 - 233
[6] AN INVESTIGATION OF THE PHASE-STRUCTURE OF THE TWO-DIMENSIONAL O(2) AND O(4) SYMMETRIC NONLINEAR SIGMA-MODELS
BERNREUTHER, W
GOCKELER, M
PHYSICS LETTERS B, 1988, 214 (01) : 109 - 114
[7] LOCALLY SUPERSYMMETRIC D=3 NONLINEAR SIGMA-MODELS
DEWIT, B
TOLLSTEN, AK
NICOLAI, H
NUCLEAR PHYSICS B, 1993, 392 (01) : 3 - 38
[8] SCALING BEHAVIOR OF THE 4-POINT RENORMALIZED COUPLING-CONSTANT IN THE 2-DIMENSIONAL O(2) AND O(3) NONLINEAR SIGMA-MODELS
KIM, JK
PHYSICS LETTERS B, 1995, 345 (04) : 469 - 472
[9] NEW CLASSES OF D=4, N=2 SUPERSYMMETRIC NONLINEAR SIGMA-MODELS
SAIDI, EH
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1989, 4 (05): : 1207 - 1222
[10] The O(4)D+1 nonlinear sigma model:: The vacuum state and the mass gap
Ligterink, NE
Walet, NR
Bishop, RF
QUARK CONFINEMENT AND THE HADRON SPECTRUM III, 2000, 8 : 227 - 230

← 1 2 3 4 5 →