Infinitely many conservation laws in self-dual Yang-Mills theory

被引：5

作者：

Adam, C. ^{[1
,2
]}

Sanchez-Guillen, J. ^{[1
,2
]}

Wereszcznski, A. ^{[3
]}

机构：

[1] Univ Santiago, Dept Fis Particulas, E-15782 Santiago De Compostela, Spain

[2] Univ Santiago, IGFAE, E-15782 Santiago De Compostela, Spain

[3] Jagiellonian Univ, Inst Phys, Krakow, Poland

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2008年 / 09期

关键词：

integrable equations in physics; solitons monopoles and instantons; integrable field theories;

D O I：

10.1088/1126-6708/2008/09/014

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

Using a nonlocal field transformation for the gauge field known as Cho-Faddeev-Niemi-Shabanov decomposition as well as ideas taken from generalized integrability, we derive a new family of infinitely many conserved currents in the self- dual sector of SU(2) Yang-Mills theory. These currents may be related to the area preserving diffeomorphisms on the reduced target space. The calculations are performed in a completely covariant manner and, therefore, can be applied to the self-dual equations in any space-time dimension with arbitrary signature.

引用

页数：18

共 39 条

[1] An integrable subsystem of Yang-Mills dilaton theory [J].

Adam, C. ;

Sanchez-Guillen, J. ;

Wereszczynski, A. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (09)

[2] Conservation laws in Skyrme-type models [J].

Adam, C. ;

Sanchez-Guillen, J. ;

Wereszczynski, A. .

JOURNAL OF MATHEMATICAL PHYSICS, 2007, 48 (03)

[3] Integrability in theories with local U(1) gauge symmetry [J].

Adam, C. ;

Sanchez-Guillen, J. ;

Wereszczynski, A. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (30) :9079-9088

[4] Integrability from an Abelian subgroup of the diffeomorphisms group [J].

Adam, C ;

Sánchez-Guillén, J ;

Wereszczynski, A .

JOURNAL OF MATHEMATICAL PHYSICS, 2006, 47 (02)

[5] Generalized integrability conditions and target space geometry [J].

Adam, C ;

Sánchez-Guillén, J .

PHYSICS LETTERS B, 2005, 626 :235-242

[6]

Adam C, 2005, J HIGH ENERGY PHYS

[7] A new approach to integrable theories in any dimension [J].

Alvarez, O ;

Ferreira, LA ;

Guillen, JS .

NUCLEAR PHYSICS B, 1998, 529 (03) :689-736

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

BELAVIN, AA ;

POLYAKOV, AM ;

SCHWARTZ, AS ;

TYUPKIN, YS .

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

[9] Supersymmetric gauge theories in twistor space [J].

Boels, Rutger ;

Mason, Lionel ;

Skinner, David .

JOURNAL OF HIGH ENERGY PHYSICS, 2007, (02)

[10] HIDDEN-SYMMETRY ALGEBRA FOR THE SELF-DUAL YANG-MILLS EQUATION [J].

CHAU, LL ;

GE, ML ;

SINHA, A ;

WU, YS .

PHYSICS LETTERS B, 1983, 121 (06) :391-396

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