Gauge theories on open Lie algebra noncommutative spaces

被引：0
|
作者：
Agarwal, A [1 ]
Akant, L [1 ]
机构：
[1] Univ Rochester, Dept Phys & Astron, Rochester, NY 14627 USA
来源：
MODERN PHYSICS LETTERS A | 2003年 / 18卷 / 07期
关键词：
noncommutative geometry; deformation quantization; noncommutative gauge theories;
D O I：
10.1142/S0217732303009587
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
It is shown that noncommutative spaces, which axe quotients of associative algebras by ideals generated by highly nonlinear relations of a particular type, admit extremely simple formulae for deformed or star products. Explicit construction of these star products is carried out. Quantum gauge theories axe formulated on these spaces, and the Seiberg-Witten map is worked out in detail.
引用
收藏
页码：491 / 501
页数：11
相关论文
共 50 条
  • [1] Gauge theories on noncommutative spaces
    Wess, J
    [J]. PARTICLE PHYSICS IN THE NEW MILLENNIUM, 2003, 616 : 320 - 332
  • [2] Nonabelian gauge theories on noncommutative spaces
    Brace, D
    Cerchiai, BL
    Zumino, B
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2002, 17 : 205 - 217
  • [3] Derivations of the Moyal Algebra and Noncommutative Gauge Theories
    Wallet, Jean-Christophe
    [J]. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2009, 5
  • [4] Noncommutative Induced Gauge Theories on Moyal Spaces
    Wallet, Jean-Christophe
    [J]. INTERNATIONAL CONFERENCE ON NONCOMMUTATIVE GEOMETRY AND PHYSICS, 2008, 103
  • [5] Lectures on open strings, and noncommutative gauge theories
    Nekrasov, NA
    [J]. UNITY FROM DUALITY: GRAVITY, GAUGE THEORY AND STRINGS, 2002, 76 : 477 - 495
  • [6] COVARIANT QUANTIZATION OF GAUGE THEORIES WITH OPEN GAUGE ALGEBRA
    DEWIT, B
    VANHOLTEN, JW
    [J]. PHYSICS LETTERS B, 1978, 79 (4-5) : 389 - 393
  • [7] Lie algebra cohomology and group structure of gauge theories
    Yang, HS
    Lee, BH
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1996, 37 (12) : 6106 - 6120
  • [8] Lie algebra type noncommutative phase spaces are Hopf algebroids
    Stjepan Meljanac
    Zoran Škoda
    Martina Stojić
    [J]. Letters in Mathematical Physics, 2017, 107 : 475 - 503
  • [9] Lie algebra type noncommutative phase spaces are Hopf algebroids
    Meljanac, Stjepan
    Skoda, Zoran
    Stojic, Martina
    [J]. LETTERS IN MATHEMATICAL PHYSICS, 2017, 107 (03) : 475 - 503
  • [10] Enveloping algebra-valued gauge transformations on noncommutative spaces
    Schraml, S
    [J]. MODERN PHYSICS LETTERS A, 2001, 16 (4-6) : 337 - 341
12345