Abstract
In the framework of the quasiclassical self-consistent approach we consider a nonminimally coupled scalar field which serves as a source of torsion in an isotropic homogeneous Universe. We obtain a local asymptotic expansion for the propagator of the scalar field and the effective action, taking into account the effects of vacuum polarization and interaction of scalar particles with the self-consistent gravitational field. The leading polarization contributions can be represented in general-covariant form. A simplified cosmological model is constructed which takes into account the interaction.
Similar content being viewed by others
Literature cited
V. N. Ponomarev, A. O. Barvinskii, and Yu. N. Obukhov, Geometrodynamical Methods and the Gauge Approach to the Theory of Gravitational Interactions [in Russian], Énergoatomizdat, Moscow (1985).
I. L. Bukhbinder, S. D. Odintsov, and I. L. Shapiro, Preprint TF, Sib. Otd. Akad. Nauk SSSR, No. 10, Tomsk (1985).
V. N. Ponomarev and P. I. Pronin, Teor. Mat. Fiz.,39, No. 3, 425–428 (1979).
A. V. Minkevich, Nguyen Khong Tyong, and F. I. Fedorov, Dokl. Akad. Nauk BSSR,28, No. 3, 211–214 (1984).
G. M. Vereshkov, V. A. Beilin, Yu. S. Grishkan, et al., Zh. Éksp. Teor. Fiz.,78, No. 6, 2081–2098 (1980).
G. M. Vereshkov, A. V. Korotun, and L. V. Urnysheva, Modern Theoretical and Experimental Problems in the Theory of Relativity and Gravitational: Proc. All-Union Conf., MGPI, Moscow (1984); pp. 190–191.
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 5–9, September, 1988.
Rights and permissions
About this article
Cite this article
Vereshkov, G.M., Dragilev, V.M. & Ponomarev, V.N. Quantum gravitational effects in an isotropic Universe with torsion. Soviet Physics Journal 31, 691–694 (1988). https://doi.org/10.1007/BF00895972
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00895972