Behavior of effective charges in e6 grand unification theory in curved spacetime

The behavior of effective charges _i(t) corresponding to the parameters of nonminimal coupling of scalar and gravitational fields in E₆ Grand Unification Theory (GUT) in curve spacetimes is studied. It is shown that in a strong gravitational field ¦_i(t)¦ grows indefinitely.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 74–11, September, 1990.     

Production of scalar particles in cosmological models

The mean number of particles produced in a space-time with the metric ds²=dt²–t² (dx²+dy²)–Kt²dz²(=1/t², 1) is calculated. It is shown that the produced particles are described by a Bose-Einstein distribution with a certain temperature.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 3–6, July, 1980.I thank D. M. Gitman and V. P. Frolov for discussing a number of questions touched upon in the paper.     

Asymptotically free models in curved space-time and behavior of effective charges in a strong gravitational field

A theory of gauge, spinor, and scalar fields interacting in curves space is considered. Equations are obtained for effective charges corresponding to the parameters of a nonminimal coupling of gravitational and scalar fields. It is shown that in a strong gravitational field the values of these parameters are dictated by the structure of the theory.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 86–91, January, 1985.     

Behavior of the effective charges in “finite” theories in curved space-time

Lenin Komsomol State Pedagogical Institute, Tomsk. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 79, No. 2, pp. 314–320, May, 1989.     

Effective action and superconformal anomalies of (p,p) σ models in (1, 1) superspace

Lenin Komsomol State Pedagogical Institute, Tomsk. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 82, No. 1, pp. 75–82, January, 1990.