MODEL DEPENDENCE OF THE NON-MINIMAL SCALAR-GRAVITON EFFECTIVE COUPLING CONSTANT IN CURVED SPACE-TIME

We investigate the renormalization group behavior of the non-minimal scalar-graviton effective coupling constant in asymptotically free theories (where scalars are elementary) and in a simple four-fermion model (where scalars are composite). We find that this behavior is model-dependent in asymptotically free theories and is asymptotically conformally invariant in the four-fermion model. We observe that the behavior may be altered in more complicated four-fermion models.

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