2003/05/20 by Justin M. Conroy, Herry J. Kwee, Vahagn Nazaryan · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Lorentz transformation #Mathematical physics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Particle physics #Phenomenology (philosophy) #Philosophy #Physics #Quantum mechanics #hep-ph
paper · pdf · doi:10.1103/physrevd.68.054004
published as Phys.Rev. D68 (2003) 054004 · 21 pages, revtex4, 4 figures, 2 tables
arxiv created 2003/05/20 · openalex publication_date 2003/09/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Recently a version of Lorentz-conserving noncommutative field theory (NCFT) has been suggested. The underlying Lie algebra of the theory is the same as that of Doplicher, Fredenhagen, and Roberts. In Lorentz-conserving NCFT the matrix parameter \ensuremathθ^\ensuremathμ\ensuremathν which characterizes the canonical NCFT's is promoted to an operator \stackrel^\ensuremathθ^\ensuremathμ\ensuremathν that transforms as a Lorentz tensor. In this paper, we calculate the phenomenological consequences of the QED version of this theory by looking at various collider processes. In particular we calculate modifications to M\oller scattering, Bhabha scattering, e+e^\ensuremath-\ensuremath→\ensuremathμ+\ensuremathμ^\ensuremath- and e+e^\ensuremath-\ensuremath→\ensuremathγ\ensuremathγ. We obtain bounds on the noncommutativity scale from the existing experiments at CERN LEP and make predictions for what may be seen in future collider experiments.