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arXiv · hep-th/9302008

Parameter restrictions in a non-commutative geometry model do not survive standard quantum corrections

E. Alvarez·J. M. Gracia-Bondia·C. P. Martin
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Abstract

We have investigated the standard one-loop quantum corrections for a particularly simple non-commutative geometry model containing fermions interacting with a unique abelian gauge field and a unique scalar through Yukawa couplings. In this model there are certain relations among the different coupling constants quite similar to the ones appearing in the Connes-Lott version of the standard model. We find that it is not possible to implement those relations in a renormalization-group invariant way.

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E. Alvarez, J. M. Gracia-Bondia, C. P. Martin. 1993-02-02. Parameter restrictions in a non-commutative geometry model do not survive standard quantum corrections. https://doi.org/10.1016/0370-2693(93)91137-c

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