Literature Cited
A. A. Grib, S. G. Mamaev, and V. M. Mostepanenko, Quantum Effects in Strong External Fields [in Russian], Atomizdat, Moscow (1980).
N. D. Birrell and P. C. W. Davies, Quantum Fields in Curved Space, CUP, Cambridge (1982).
G. M. Shore, Ann. Phys. (N.Y.),128, 376 (1980).
G. A. Vilkovsky, Quantum Theory of Gravity (ed. S. M. Christensen), Adam Hilger Ltd., Bristol (1984).
E. S. Fradkin and A. A. Tseytlin, Nucl. Phys. B,234, 472 (1984).
I. L. Buchbinder and S. D. Odintsov, Class. Quantum Grav.,2, 721 (1985).
V. G. Lapchinskii and V. A. Rubakov, Teor. Mat. Fiz.,42, 37 (1980).
G. Denardo and E. Spallucci, Nuovo Cimento A,68, 177 (1982).
G. Denardo and E. Spallucci, Nuovo Cimento A,71, 397 (1982).
K. Ishikawa, Phys. Rev. D,28, 2445 (1983).
B. Allen, Nucl. Phys. B,226, 228 (1983).
B. L. Hu and D. J. O'Connor, Phys. Rev. D,30, 743 (1984).
L. Parker and D. J. Toms, “Explicit curvature dependence of coupling constants,” Preprint, University of Wisconsin-Milwaukee (1985).
L. S. Brown and J. C. Collins, Ann. Phys. (N.Y.),130, 215 (1980).
I. L. Bukhbinder, Izv. Vyssh. Uchebn. Zaved. Fiz.,27, No. 12, 57 (1984).
N. N. Bogolyubov and D. V. Shirkov, Introduction to the Theory of Quantized Fields, 3rd ed., Wiley, New York (1980); A. A. Vladimirov and D. V. Shirkov, Usp. Fiz. Nauk,129, 407 (1979).
B. S. Nelson and P. Panangaden, Phys. Rev. D,25, 1019 (1982).
D. J. Toms, Phys. Rev. D,26, 2713 (1982).
I. L. Bukhbinder and S. D. Odintsov, Izv. Vyssh. Uchebn. Zaved. Fiz.,26, No. 8, 50 (1983).
I. L. Bukhbinder and S. D. Odintsov, Izv. Vyssh. Uchebn. Zaved. Fiz.,26, No. 12, 50 (1983).
D. J. Toms, Phys. Lett. B,126, 37 (1983).
I. L. Bukhbinder and S. D. Odintsov, Yad. Fiz.,40, 1338 (1984).
L. Parker and D. J. Toms, Phys. Rev. D,29, 1584 (1984).
I. L. Bukhbinder, Teor. Mat. Fiz.,61, 393 (1984).
I. L. Bukhbinder and S. D. Odintsov, Izv. Vyssh. Uchebn. Zaved. Fiz.,28, No. 1, 86 (1985).
I. L. Buchbinder and I. L. Shapiro, Phys. Lett. B,151, 263 (1985).
I. L. Buchbinder and S. D. Odintsov, Lett. Nuovo Cimento,42, 379 (1985).
B. S. DeWitt, Phys. Rev.,162, 1195 (1967).
S. Coleman and E. Veinberg, Phys. Rev. D,7, 1888 (1973).
A. A. Ansel'm and D. I. D'yakonov, Zh. Eksp. Teor. Fiz.,68, 1614 (1975).
I. L. Bukhbinder and S. D. Odintsov, Izv. Vyssh. Uchebn. Zaved. Fiz.,27, No. 7, 17 (1984).
B. S. DeWitt, Phys. Rep.,19, 295 (1975).
L. Parker, Proc. NATO Adv. Study Inst. Grav. (1978).
E. S. Fradkin and A. A. Tseytlin, Nucl. Phys. B,201, 469 (1982).
Additional information
Lenin Komsomol State Pedagogical Institute, Tomsk. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 72, No. 1, pp. 58–67, July, 1987.
Rights and permissions
About this article
Cite this article
Bukhbinder, I.L., Vol'fengaut, Y.Y. Renormalization group equations and effective action in curved space-time. Theor Math Phys 72, 720–727 (1987). https://doi.org/10.1007/BF01035697
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01035697