The behaviour of effective coupling constants in 'finite' grand unification theories in curved spacetime

Astronomy and Astrophysics – Astronomy

Scientific paper

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Grand Unified Theory, Gravitational Fields, Space-Time Functions, Astronomical Models, Coupling, Curvature, Invariance, Supergravity, Supersymmetry

Scientific paper

The question of the behavior 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 accurary to linear curvature terms. It is shown that, in external supergravity, supersymmetric finite theories admit asymptotic conformal invariance.

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