Gauge theory on noncommutative spaces

被引：449

作者：

Madore, J

Schraml, S

Schupp, P

Wess, J

机构：

[1] Univ Paris 11, Phys Theor Lab, F-91405 Orsay, France

[2] Max Planck Inst Phys & Astrophys, D-80805 Munich, Germany

[3] Univ Munich, Sekt Phys, D-80333 Munich, Germany

来源：

EUROPEAN PHYSICAL JOURNAL C | 2000年 / 16卷 / 01期

关键词：

D O I：

10.1007/s100520050012

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：

We introduce a formulation of gauge theory on noncommutative spaces based on the notion of covariant coordinates. Some important examples are discussed in detail. A Seiberg-Witten map is established in all cases.

引用

页码：161 / 167

页数：7

共 17 条

[1]

[Anonymous], 1999, LONDON MATH SOC LECT

[2] DEFORMATION THEORY AND QUANTIZATION .1. DEFORMATIONS OF SYMPLECTIC STRUCTURES [J].

BAYEN, F ;

FLATO, M ;

FRONSDAL, C ;

LICHNEROWICZ, A ;

STERNHEIMER, D .

ANNALS OF PHYSICS, 1978, 111 (01) :61-110

[3]

Cerchiai BL, 1999, EUR PHYS J C, V8, P547

[4] Differential calculi and linear connections [J].

Dimakis, A ;

Madore, J .

JOURNAL OF MATHEMATICAL PHYSICS, 1996, 37 (09) :4647-4661

[5] GAUGE BOSONS IN A NONCOMMUTATIVE GEOMETRY [J].

DUBOISVIOLETTE, M ;

MADORE, J ;

KERNER, R .

PHYSICS LETTERS B, 1989, 217 (04) :485-488

[6]

ISHIIBASHI N, HEPTH9909176

[7]

JURCO B, HEPTH0001032

[8]

KONTSEVICH M, HEPTH9707040

[9] QUANTUM MECHANICS AS A STATISTICAL THEORY [J].

MOYAL, JE .

PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1949, 45 (01) :99-124

[10] A Q-DEFORMED LORENTZ ALGEBRA [J].

SCHMIDKE, WB ;

WESS, J ;

ZUMINO, B .

ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1991, 52 (03) :471-476

← 1 2 →