Asymptotic conformal invariance and asymptotic finiteness in grand unification theories in curved spacetime

F. Sh. Zaripov, S. D. Odyntsov


Abstract: An investigation is made of the behavior of the effective charges $\xi(t)$ that correspond to the parameters of nonminimal coupling of scalars to gravity in “finite” grand unification models in curved spacetime. Examples are given of “finite” theories in which asymptotic conformal invariance is realized in the limit of strong (or weak) gravitational fields. The possibility of asymptotic finiteness in curved spacetime is analyzed.

Received: 06.07.1989

 English version: Theoretical and Mathematical Physics, 1990, 83:3, 619–623

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