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
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
  • [21] Renormalization of noncommutative gauge theories
    Salizzoni, M
    FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, 2002, 50 (8-9): : 966 - 972
  • [22] Algebra of gauge theories
    Zharinov, V. V.
    THEORETICAL AND MATHEMATICAL PHYSICS, 2020, 203 (02) : 584 - 595
  • [23] Algebra of gauge theories
    V. V. Zharinov
    Theoretical and Mathematical Physics, 2020, 203 : 584 - 595
  • [24] Gauge theory on noncommutative spaces
    Madore, J
    Schraml, S
    Schupp, P
    Wess, J
    EUROPEAN PHYSICAL JOURNAL C, 2000, 16 (01): : 161 - 167
  • [25] Gauge theory on noncommutative spaces
    J. Madore
    S. Schraml
    P. Schupp
    J. Wess
    The European Physical Journal C - Particles and Fields, 2000, 16 : 161 - 167
  • [26] Noncommutative gauge theories and the cosmological constant
    Armoni, A
    Russo, R
    PHYSICAL REVIEW D, 2001, 64 (08)
  • [27] Noncommutative gauge theories and Lorentz symmetry
    Banerjee, R
    Chakraborty, B
    Kumar, K
    PHYSICAL REVIEW D, 2004, 70 (12): : 125004 - 1
  • [28] Reduced models and noncommutative gauge theories
    Yu. M. Makeenko
    Journal of Experimental and Theoretical Physics Letters, 2000, 72 : 393 - 399
  • [29] Cosmological consequences of noncommutative gauge theories
    Lambiase, G.
    Vilasi, G.
    Yoshioka, A.
    CLASSICAL AND QUANTUM GRAVITY, 2017, 34 (02)
  • [30] Supersymmetric gauge theories on noncommutative superspace
    Araki, T
    Ito, K
    Ohtsuka, A
    PHYSICS LETTERS B, 2003, 573 (1-4) : 209 - 216