Enveloping algebra-valued gauge transformations for non-abelian gauge groups on non-commutative spaces

被引：241
|
作者：
Jurco, B
Schraml, S
Schupp, P
Wess, J
机构：
[1] Max Planck Inst Math, D-53111 Bonn, Germany
[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 / 17卷 / 03期
关键词：
Gauge Group; Finite Number; Gauge Transformation; Field Component; Gauge Field;
D O I：
10.1007/s100520000487
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：
An enveloping algebra-valued gauge field is constructed, its components are functions of the Lie algebra-valued gauge field and can be constructed with the Seiberg-Witten map. This allows the formulation of a dynamics for a finite number of gauge field components on non-commutative spaces.
引用
收藏
页码：521 / 526
页数：6
相关论文
共 50 条
  • [21] Gauge and Einstein gravity from non-abelian gauge models on noncommutative spaces
    Vacaru, SI
    PHYSICS LETTERS B, 2001, 498 (1-2) : 74 - 82
  • [22] ABELIAN GAUGE-INVARIANCE OF NON-ABELIAN GAUGE THEORIES
    BRANDT, RA
    WINGCHIU, N
    PHYSICAL REVIEW D, 1977, 15 (08) : 2235 - 2244
  • [23] Existence of non-Abelian vortices with product gauge groups
    Han, Xiaosen
    Lin, Chang-Shou
    NUCLEAR PHYSICS B, 2014, 878 : 117 - 149
  • [24] Non-Abelian gauge groups and hypermultiplets in projective superspaces
    Arai, Masato
    Sasaki, Shin
    JOURNAL OF HIGH ENERGY PHYSICS, 2013, (03):
  • [25] Non-Abelian gauge groups and hypermultiplets in projective superspaces
    Masato Arai
    Shin Sasaki
    Journal of High Energy Physics, 2013
  • [26] Entanglement entropy in lattices with non-Abelian gauge groups
    Hategan-Marandiuc, M.
    PHYSICAL REVIEW D, 2024, 109 (09)
  • [27] HOW NON-ABELIAN IS NON-ABELIAN GAUGE-THEORY
    CRABB, MC
    SUTHERLAND, WA
    QUARTERLY JOURNAL OF MATHEMATICS, 1995, 46 (183): : 279 - 290
  • [28] Gauge invariant operators in field theories on non-commutative spaces
    Dorn, H
    FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, 2002, 50 (8-9): : 884 - 889
  • [29] Observables of Non-Commutative Gauge Theories
    Gross, David J.
    Hashimoto, Akikazu
    Itzhaki, N.
    ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, 2000, 4 (04)
  • [30] The theory of non-Abelian tensor fields: Gauge transformations and curvature
    E. T. Akhmedov
    Theoretical and Mathematical Physics, 2006, 147 : 509 - 523
12345