Abstract
Renormalization group equations are derived which permit study of the behavior of the quantum theory effective potential of a field in curved space-time. Within the framework of asymptotically free models the asymptotes of the potential are studied for the limit of a strong gravitational field, the limit of large scalar fields, and the composite limit. The conditions for stability of quantum field theory in an external gravitational field are investigated.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 26–32, October, 1985.
The authors are indebted to I. V. Tyutin for evaluating the study.
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Bukhbinder, I.L., Odintsov, S.D. Asymptotes of the effective potential in an external gravitational field. Soviet Physics Journal 28, 790–794 (1985). https://doi.org/10.1007/BF00897950
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DOI: https://doi.org/10.1007/BF00897950