Noncommutative GUT inspired theories and the UV finiteness of the fermionic four point functions

Abstract

We show at one-loop and first order in the noncommutativity parameters that in any noncommutative GUT inspired theory the total contribution to the fermionic four point functions coming only from the interaction between fermions and gauge bosons, though not UV finite by power counting, is UV finite at the end of the day. We also show that this is at odds with the general case for noncommutative gauge theories --chiral or otherwise-- defined by means of Seiberg-Witten maps that are the same --barring the gauge group representation-- for left-handed spinors as for right-handed spinors. We believe that the results presented in this paper tilt the scales to the side of noncommutative GUTS and noncommutative GUT inspired versions of the Standard Model.

11 pages, 3 figures. Version 2: references fixed and completed. Version 3: Comments added

References in corpus (14)

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• Non-renormalizability of θ-expanded noncommutative QED
• Anomaly freedom in Seiberg-Witten noncommutative gauge theories
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• The absence of the 4$\psi$ divergence in noncommutative chiral models
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• Renormalisability of the matter determinants in noncommutative gauge theory in the enveloping-algebra formalism
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Cited by in corpus (19)

• Yukawa couplings and seesaw neutrino masses in noncommutative gauge theory
• Computing the θ-exact Seiberg-Witten map for arbitrary gauge groups
• Photon-neutrino interaction in theta-exact covariant noncommutative field theory
• Chiral fermions in noncommutative electrodynamics: renormalizability and dispersion
• Self-energies on deformed spacetimes
• Gauge Theories on Deformed Spaces
• Renormalisability of noncommutative GUT inspired field theories with anomaly safe groups
• Noncommutative GUT inspired theories with U(1), SU(N) groups and their renormalisability
• Seiberg-Witten map Invariant Scatterings
• Yukawa terms in noncommutative SO(10) and E6 GUTs
• SO(10) GUTs with large tensor representations on Noncommutative Space-time
• The Minimal and the New Minimal Supersymmetric Grand Unified Theories on Noncommutative Space-time
• Two-Point Functions on Deformed Spacetime
• The theta-exact Seiberg-Witten maps at the e3 order
• Laboratory frame analysis of $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ scattering in the Noncommutative Standard Model
• Revisiting NCQED and scattering amplitudes
• The role of the Seiberg-Witten field redefinition in renormalization of noncommutative chiral electrodynamics
• Photon-neutrino interaction in theta-exact covariant noncommutative model: Phenomenology and Quantum properties*
• NC GUTs: A Status Report