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
收藏
页码:161 / 167
页数:7
相关论文
共 17 条
  • [1] [Anonymous], 1999, LONDON MATH SOC LECT
  • [2] DEFORMATION THEORY AND QUANTIZATION .1. DEFORMATIONS OF SYMPLECTIC STRUCTURES
    BAYEN, F
    FLATO, M
    FRONSDAL, C
    LICHNEROWICZ, A
    STERNHEIMER, D
    [J]. ANNALS OF PHYSICS, 1978, 111 (01) : 61 - 110
  • [3] Cerchiai BL, 1999, EUR PHYS J C, V8, P547
  • [4] Differential calculi and linear connections
    Dimakis, A
    Madore, J
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1996, 37 (09) : 4647 - 4661
  • [5] GAUGE BOSONS IN A NONCOMMUTATIVE GEOMETRY
    DUBOISVIOLETTE, M
    MADORE, J
    KERNER, R
    [J]. 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
    MOYAL, JE
    [J]. PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1949, 45 (01): : 99 - 124
  • [10] A Q-DEFORMED LORENTZ ALGEBRA
    SCHMIDKE, WB
    WESS, J
    ZUMINO, B
    [J]. ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1991, 52 (03): : 471 - 476