New representation of the self-duality and exact solutions for Yang-Mills equations

被引：2

作者：

Khater, A. H. ^{[1
]}

Callebaut, D. K.

Sayed, S. M.

机构：

[1] Cairo Univ, Fac Sci, Dept Math, Bani Suwayf, Egypt

[2] Univ Antwerp, Dept Nat, B-2610 Antwerp, Belgium

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2006年 / 45卷 / 06期

关键词：

self-dual SU(2); Yang-Mills fields; gauge theory;

D O I：

10.1007/s10773-006-9095-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we found a new representation for self-duality . In addition, exact solution class of the classical SU(2) Yang-Mills field in four-dimensional Euclidean space and two exact solution classes for SU(2) Yang-Mills when rho is a complex analytic function are also obtained.

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收藏

页码：1055 / 1062

页数：8

相关论文

共 26 条

[1] NONLINEAR-EVOLUTION EQUATIONS OF PHYSICAL SIGNIFICANCE [J].

ABLOWITZ, MJ ;

KAUP, DJ ;

NEWELL, AC ;

SEGUR, H .

PHYSICAL REVIEW LETTERS, 1973, 31 (02) :125-127

[2] Integrable systems and reductions of the self-dual Yang-Mills equations [J].

Ablowitz, MJ ;

Chakravarty, S ;

Halburd, RG .

JOURNAL OF MATHEMATICAL PHYSICS, 2003, 44 (08) :3147-3173

[3]

ABOLWITZ MJ, 1991, SOLITONS NONLINEAR E

[4] PSEUDOPARTICLE SOLUTIONS OF YANG-MILLS EQUATIONS [J].

BELAVIN, AA ;

POLYAKOV, AM ;

SCHWARTZ, AS ;

TYUPKIN, YS .

PHYSICS LETTERS B, 1975, 59 (01) :85-87

[5] CANONICAL FORMULATION OF THE SELF-DUAL YANG-MILLS SYSTEM - ALGEBRAS AND HIERARCHIES [J].

CHAU, LL ;

YAMANAKA, I .

PHYSICAL REVIEW LETTERS, 1992, 68 (12) :1807-1810

[6] QUANTIZATION OF THE SELF-DUAL YANG-MILLS SYSTEM - EXCHANGE ALGEBRAS AND LOCAL QUANTUM GROUP IN 4-DIMENSIONAL QUANTUM-FIELD THEORIES [J].

CHAU, LL ;

YAMANAKA, I .

PHYSICAL REVIEW LETTERS, 1993, 70 (13) :1916-1919

[7] INSTANTON GREEN-FUNCTIONS AND TENSOR PRODUCTS [J].

CORRIGAN, E ;

GODDARD, P ;

TEMPLETON, S .

NUCLEAR PHYSICS B, 1979, 151 (01) :93-117

[8] STATIC NON-ABELIAN FORCES AND THE PERMUTATION GROUP [J].

CORRIGAN, E .

PHYSICS LETTERS B, 1979, 82 (3-4) :407-410

[9] 1ST-ORDER EQUATIONS FOR GAUGE-FIELDS IN SPACES OF DIMENSION GREATER THAN 4 [J].

CORRIGAN, E ;

DEVCHAND, C ;

FAIRLIE, DB ;

NUYTS, J .

NUCLEAR PHYSICS B, 1983, 214 (03) :452-464

[10] SELF-DUAL SOLUTIONS TO EUCLIDEAN YANG-MILLS EQUATIONS [J].

CORRIGAN, E .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1979, 49 (02) :95-111