Abstract
Renormalization group equations are obtained, which allow studying the asymptotic behavior of the effective potential of composite fields in an external gravitational field. For asymptotically free theories, the behavior of the effective potential is found for large values of composite fields and of the space-time curvature.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 93–98, February, 1988.
We thank I. V. Tyutin for discussion during the progress of this work.
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Bukhbinder, I.L., Odintsov, S.D. Asymptotic behavior of the effective potential of composite fields in a curved space-time. Soviet Physics Journal 31, 163–167 (1988). https://doi.org/10.1007/BF00896543
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DOI: https://doi.org/10.1007/BF00896543