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 (3)

• Non-commutative SU(N) gauge theories and asymptotic freedom
• The absence of the 4$\psi$ divergence in noncommutative chiral models
• Renormalisability of the matter determinants in noncommutative gauge theory in the enveloping-algebra formalism

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• Revisiting NCQED and scattering amplitudes
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• Photon-neutrino interaction in theta-exact covariant noncommutative model: Phenomenology and Quantum properties*
• NC GUTs: A Status Report