Non-commutative gauge fields from quantum groups

被引:0
|
作者
Alekseev, AY
Schomerus, V
机构
来源
关键词
D O I
暂无
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 give a non-technical introduction into the theory of non-commutative lattice gauge fields with quantum gauge group. The general construction is illustrated at the example of the Hamiltonian Chern-Simons theory. We also review the counterpart of the Noether's theorem for quantum groups.
引用
收藏
页码:1 / 19
页数:19
相关论文
共 50 条
  • [1] Gauge fields on non-commutative spaces and renormalization
    Blaschke, Daniel N.
    FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, 2014, 62 (9-10): : 820 - 824
  • [2] Representations of non-commutative quantum groups
    Kriegk, Benoit
    Van den Bergh, Michel
    PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2015, 110 : 57 - 82
  • [3] Consistent non-commutative quantum gauge theories?
    Slavnov, AA
    PHYSICS LETTERS B, 2003, 565 (1-4) : 246 - 252
  • [4] Non-commutative geometry and quantum groups
    Majid, S
    PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2000, 358 (1765): : 89 - 109
  • [5] On the unitarity of quantum gauge theories on non-commutative spaces
    Bassetto, A
    Vian, F
    Griguolo, L
    Nardelli, G
    JOURNAL OF HIGH ENERGY PHYSICS, 2001, (07):
  • [6] A new approach to non-commutative U☆(N) gauge fields
    Blaschke, D. N.
    EPL, 2010, 91 (01)
  • [7] Momentum Gauge Fields and Non-Commutative Space-Time
    Guendelman, Eduardo
    Singleton, Douglas
    SYMMETRY-BASEL, 2023, 15 (01):
  • [8] Non-commutative space-time and quantum groups
    Wess, J
    PARTICLES, FIELDS, AND GRAVITATION, 1998, 453 : 155 - 163
  • [9] Non-commutative gauge dynamics from the string worldsheet
    Gomis, J
    Mehen, T
    Rangamani, M
    Kleban, M
    Shenker, S
    JOURNAL OF HIGH ENERGY PHYSICS, 2000, (08):
  • [10] Observables of Non-Commutative Gauge Theories
    Gross, David J.
    Hashimoto, Akikazu
    Itzhaki, N.
    ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, 2000, 4 (04)