2008/08/31 by Ricardo Amorim · 17 citations
Mathematics · Physics and Astronomy · #Action (physics) #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Dirac (video compression format) #Fermion #Fermionic field #Invariant (physics) #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Quantum field theory #Symmetry (geometry) #Symmetry group #hep-th
paper · pdf · doi:10.1063/1.3076899
published in Journal of Mathematical Physics 50(2) (American Institute of Physics) · 10 pages, Latex, published version
openalex publication_date 2009/02/01 · arxiv created 2009/05/07 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
By using a framework where the object of noncommutativity θμν represents independent degrees of freedom, we study the symmetry properties of an extended x+θ space-time, given by the group P′, which has the Poincaré group P as a subgroup. In this process we use the minimal canonical extension of the Doplicher–Fredenhagen–Roberts algebra. It is also proposed a generalized Dirac equation, where the fermionic field depends not only on the ordinary coordinates but on θμν as well. The dynamical symmetry content of such fermionic theory is discussed, and we show that its action is invariant under P′.