FIELD-THEORIES WITH AN INFINITE NUMBER OF CONSERVATION-LAWS AND BACKLUND TRANSFORMATIONS IN 2-DIMENSIONS

被引：61
作者：
DEVEGA, HJ
机构：
[1] CEN-Saclay
来源：
PHYSICS LETTERS B | 1979年 / 87卷 / 03期
关键词：
D O I：
10.1016/0370-2693(79)90971-7
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
Field theories in two dimensions are generated from the integrability condition of a linear system which possesses Poincaré and internal symmetries. From matrix solutions of this system we get (i) an infinite set of non-local conserved currents and (ii) a family of one-parameter Bäcklund transformations. A large class of models is covered here, as the non-linear sigma, the SU(n) ⊗ SU(n) and the non-abelian gauge invariant projector models. © 1979.
引用
收藏
页码：233 / 236
页数：4
相关论文
共 20 条
[1]   METHOD FOR SOLVING SINE-GORDON EQUATION [J].
ABLOWITZ, MJ ;
KAUP, DJ ;
NEWELL, AC ;
SEGUR, H .
PHYSICAL REVIEW LETTERS, 1973, 30 (25) :1262-1264
[2]   REMARKS ABOUT THE EXISTENCE OF NONLOCAL CHARGES IN 2-DIMENSIONAL MODELS [J].
BREZIN, E ;
ITZYKSON, C ;
ZINNJUSTIN, J ;
ZUBER, JB .
PHYSICS LETTERS B, 1979, 82 (3-4) :442-444
[3]  
Budagov A. S., 1977, Soviet Physics - Doklady, V22, P428
[4]   A-1-N EXPANDABLE SERIES OF NONLINEAR SIGMA-MODELS WITH INSTANTONS [J].
DADDA, A ;
LUSCHER, M ;
DIVECCHIA, P .
NUCLEAR PHYSICS B, 1978, 146 (01) :63-76
[5]  
DUBOISVIOLETTE M, 1978, LPTHE PREPRINT
[6]  
EICHENHERR K, 1978, NUCL PHYS B, V146, P215
[7]  
FADDEEV LD, 1975, THEOR MATH PHYS, V21, P1046
[8]  
FADDEEV LD, 1975, SOV PHYS DOKL, V19, P824
[9]  
FROLICH J, 1979, IHES PREPRINT
[10]   COMPLETE INTEGRABILITY OF 2-DIMENSIONAL CLASSICAL THIRRING MODEL [J].
KUZNETSOV, EA ;
MIKHAILOV, AV .
THEORETICAL AND MATHEMATICAL PHYSICS, 1977, 30 (03) :193-200
12