The behaviour of effective coupling constants in 'finite' grand unification theories in curved spacetime
I. L. BuchbinderDept. of Phys. & Math., Pedagogical Inst., Tomsk, USSRSergei D. OdintsovDept. of Phys. & Math., Pedagogical Inst., Tomsk, USSRI. M. LICHTZIERDept. of Phys. & Math., Pedagogical Inst., Tomsk, USSR
1989en
ABI
Abstract
The question of the behaviour of effective coupling constants in one-loop 'finite' grand unification theories in curved spacetime is investigated. It is shown that in strong gravitational fields the effective coupling constant, corresponding to the parameter of non-minimal interaction of scalar and gravitational fields, tends to the conformal value or increases in an exponential fashion. The one-loop effective potential is obtained with accuracy to linear curvature terms. It is shown that, in external supergravity, supersymmetric finite theories admit asymptotic conformal invariance.
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