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Neutrino propagation in noncommutative spacetimes

  • R. Horvat
  • A. Ilakovac
  • P. Schupp
  • J. Trampetić
  • J. You
Article

Abstract

One-loop θ-exact quantum corrections to the neutrino propagator are computed in noncommutative U(1) gauge-theory based on Seiberg-Witten maps. Our closed form results show that the one-loop correction contains a hard 1/ǫ UV divergence, as well as a logarithmic IR-divergent term of the type ln \( \sqrt {{{{\left( {\theta p} \right)}^{{2}}}}} \), thus considerably softening the usual UV/IR mixing phenomenon. We show that both of these problematic terms vanish for a certain choice of the noncommutative parameter θ which preserves unitarity. We find non-perturbative modifications of the neutrino dispersion relations which are assymp-totically independent of the scale of noncommutativity in both the low and high energy limits and may allow superluminal propagation. Finally, we demonstrate how the prodigious freedom in Seiberg-Witten maps may be used to affect neutrino propagation in a profound way.

Keywords

Neutrino Physics Non-Commutative Geometry 

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Copyright information

© SISSA, Trieste, Italy 2012

Authors and Affiliations

  • R. Horvat
    • 1
  • A. Ilakovac
    • 2
  • P. Schupp
    • 3
  • J. Trampetić
    • 1
    • 4
  • J. You
    • 1
  1. 1.Rudjer Bošković InstituteZagrebCroatia
  2. 2.Faculty of ScienceUniversity of ZagrebZagrebCroatia
  3. 3.Center for Mathematics, Modeling and ComputingJacobs University BremenBremenGermany
  4. 4.Max-Planck-Institut für Physik, (Werner-Heisenberg-Institut)MünchenGermany

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