LAX PAIR, HIDDEN SYMMETRIES, AND INFINITE SEQUENCES OF CONSERVED-CURRENTS FOR SELF-DUAL YANG-MILLS FIELDS

被引：9

作者：

PAPACHRISTOU, CJ ^{[1
]}

机构：

[1] NAVAL ACAD GREECE, DEPT PHYS, GR-18503 PIRAEUS, GREECE

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 17期

关键词：

D O I：

10.1088/0305-4470/24/17/015

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A Lax pair which linearizes the self-dual Yang-Mills (SDYM) equation is found and shown to be intimately related to the general symmetry problem for SDYM. The linear system is used to derive an invertible recursion operator that produces new infinite sequences of non-local symmetries and associated conservation laws for SDYM.

引用

页码：L1051 / L1055

页数：5

共 17 条

[1] YANG-MILLS EQUATIONS AS INVERSE SCATTERING PROBLEM [J].

BELAVIN, AA ;

ZAKHAROV, VE .

PHYSICS LETTERS B, 1978, 73 (01) :53-57

[2]

BRIHAYE Y, 1978, J MATH PHYS, V19, P2528, DOI 10.1063/1.523636

[3] MORE ABOUT HIDDEN-SYMMETRY ALGEBRA FOR THE SELF-DUAL YANG-MILLS SYSTEM [J].

CHAU, LL ;

WU, YS .

PHYSICAL REVIEW D, 1982, 26 (12) :3581-3592

[4] KAC-MOODY ALGEBRA IN THE SELF-DUAL YANG-MILLS EQUATION [J].

CHAU, LL ;

GE, ML ;

WU, YS .

PHYSICAL REVIEW D, 1982, 25 (04) :1086-1094

[5] SOME ASPECTS OF THE LINEAR-SYSTEM FOR SELF-DUAL YANG-MILLS FIELDS [J].

CHAU, LL ;

PRASAD, MK ;

SINHA, A .

PHYSICAL REVIEW D, 1981, 24 (06) :1574-1580

[6] KAC-MOODY ALGEBRAS AND EXACT SOLVABILITY IN HADRONIC PHYSICS [J].

DOLAN, L .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1984, 109 (01) :1-94

[7] PAINLEVE TEST FOR THE SELF-DUAL YANG-MILLS EQUATION [J].

JIMBO, M ;

KRUSKAL, MD ;

MIWA, T .

PHYSICS LETTERS A, 1982, 92 (02) :59-60

[8] SOME ASPECTS OF THE ISOGROUP OF THE SELF-DUAL YANG-MILLS SYSTEM [J].

PAPACHRISTOU, CJ ;

HARRISON, BK .

JOURNAL OF MATHEMATICAL PHYSICS, 1987, 28 (06) :1261-1264

[9] POTENTIAL SYMMETRIES FOR SELF-DUAL GAUGE-FIELDS [J].

PAPACHRISTOU, CJ .

PHYSICS LETTERS A, 1990, 145 (05) :250-254

[10] NONLOCAL SYMMETRIES AND BACKLUND-TRANSFORMATIONS FOR THE SELF-DUAL YANG-MILLS SYSTEM [J].

PAPACHRISTOU, CJ ;

HARRISON, BK .

JOURNAL OF MATHEMATICAL PHYSICS, 1988, 29 (01) :238-243

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