Gauge theories in noncommutative geometry

被引：5
|
作者：
Masson, Thierry [1 ]
机构：
[1] Univ Sud Toulon Var, Aix Marseille Univ, Ctr Phys Theor, CNRS,UMR 6207, F-13288 Marseille 9, France
来源：
FRONTIERS OF FUNDAMENTAL PHYSICS | 2012年 / 1446卷
关键词：
noncommutative geometry; gauge field theories; DIFFERENTIAL GEOMETRY; STANDARD MODEL; DERIVATIONS; CONNECTIONS; GRAVITY; FIELDS;
D O I：
10.1063/1.4727990
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
In this review we present some of the fundamental mathematical structures which permit to define noncommutative gauge field theories. In particular, we emphasize the theory of noncommutative connections, with the notions of curvatures and gauge transformations. Two different approaches to noncommutative geometry are covered: the one based on derivations and the one based on spectral triples. Examples of noncommutative gauge field theories are given to illustrate the constructions and to display some of the common features.
引用
收藏
页码：73 / 98
页数：26
相关论文
共 50 条
  • [41] Derivations of the Moyal Algebra and Noncommutative Gauge Theories
    Wallet, Jean-Christophe
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2009, 5
  • [42] Comment on "Noncommutative gauge theories and Lorentz symmetry"
    Iorio, Alfredo
    PHYSICAL REVIEW D, 2008, 77 (04):
  • [43] Noncommutative gauge theories from deformation quantization
    Asakawa, T
    Kishimoto, I
    NUCLEAR PHYSICS B, 2000, 591 (03) : 611 - 635
  • [44] NONCOMMUTATIVE GAUGE THEORIES: MODEL FOR HODGE THEORY
    Upadhyay, Sudhaker
    Mandal, Bhabani Prasad
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2013, 28 (25):
  • [45] Noncommutative two-dimensional gauge theories
    Armoni, Adi
    PHYSICS LETTERS B, 2011, 704 (05) : 627 - 630
  • [46] The meaning of infrared singularities in noncommutative gauge theories
    Van Raamsdonk, M
    JOURNAL OF HIGH ENERGY PHYSICS, 2001, (11):
  • [47] Homotopy Double Copy of Noncommutative Gauge Theories
    Szabo, Richard J.
    Trojani, Guillaume
    SYMMETRY-BASEL, 2023, 15 (08):
  • [48] Maps for currents and anomalies in noncommutative gauge theories
    Banerjee, R
    Kumar, K
    PHYSICAL REVIEW D, 2005, 71 (04): : 045013 - 1
  • [49] On the anomalies and Schwinger terms in noncommutative gauge theories
    Ardalan, F.
    Arfaei, H.
    Sadooghi, N.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2006, 21 (19-20): : 4161 - 4183
  • [50] Construction of gauge theories on curved noncommutative spacetime
    Behr, W
    Sykora, A
    NUCLEAR PHYSICS B, 2004, 698 (03) : 473 - 502
12345