E. Alvarez et al., PARAMETER RESTRICTIONS IN A NONCOMMUTATIVE GEOMETRY MODEL DO NOT SURVIVE STANDARD QUANTUM CORRECTIONS, Physics letters. Section B, 306(1-2), 1993, pp. 55-58
We have investigated the standard one-loop quantum corrections for a p
articularly simple non-commutative geometry model containing fermions
interacting with a unique abelian gauge field and a unique scalar thro
ugh Yukawa couplings. In this model there are certain relations among
the different coupling constants quite similar to the ones appearing i
n the Connes-Lott version of the standard model. We find that it is no
t possible to implement those relations in a renormalization-group inv
ariant way.