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Letters in Mathematical Physics

, Volume 78, Issue 1, pp 61–71 | Cite as

Twisted Gauge Theories

  • Paolo Aschieri
  • Marija Dimitrijević
  • Frank Meyer
  • Stefan Schraml
  • Julius Wess
Article

Abstract

Gauge theories on a space-time that is deformed by the Moyal–Weyl product are constructed by twisting the coproduct for gauge transformations. This way a deformed Leibniz rule is obtained, which is used to construct gauge invariant quantities. The connection will be enveloping algebra valued in a particular representation of the Lie algebra. This gives rise to additional fields, which couple only weakly via the deformation parameter θ and reduce in the commutative limit to free fields. Consistent field equations that lead to conservation laws are derived and some properties of such theories are discussed.

Keywords

deformed spaces twisted gauge transformations noncommutative gauge theories 

Mathematics Subject Classification

81T75 Noncommutative geometry methods 81T13 Yang-Mills and other gauge theories 

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Copyright information

© Springer 2006

Authors and Affiliations

  • Paolo Aschieri
    • 5
  • Marija Dimitrijević
    • 4
  • Frank Meyer
    • 1
    • 2
  • Stefan Schraml
    • 2
  • Julius Wess
    • 1
    • 2
    • 3
  1. 1.Arnold Sommerfeld Center for Theoretical Physics, Fakultät für PhysikUniversität MünchenMunichGermany
  2. 2.Max-Planck-Institut für PhysikMunichGermany
  3. 3.Zentrum für Mathematische PhysikDESY und Universität HamburgHamburgGermany
  4. 4.Faculty of PhysicsUniversity of BelgradeBelgradeSerbia and Montenegro
  5. 5.Dipartimento di Scienze e Tecnologie AvanzateUniversitá del Piemonte Orientale, and INFNAlessandriaItaly

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