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Asymptotic behavior of the effective potential of composite fields in a curved space-time

  • Physics of Elementary Particles and Field Theory
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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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Literature cited

  1. I. L. Bukhbinder and S. D. Odintsov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 10, 26 (1985).

    Google Scholar 

  2. Y. Nambu and G. Jona-Lasinio, Phys. Rev.,122, 345 (1961);124, 246 (1963).

    Google Scholar 

  3. D. A. Kirzhnits, Usp. Fiz. Nauk,125, 169 (1978).

    Google Scholar 

  4. M. B. Voloshin and K. A. Ter-Martirosyan, Theory of Gauge Interactions of Elementary Particles [in Russian], Énergoatomizdat, Moscow (1985).

    Google Scholar 

  5. S. W. Hawking and I. G. Moss, Nucl. Phys.,B224, 180 (1984).

    Google Scholar 

  6. R. P. Grigoryan and I. V. Tyutin, Yad. Fiz.,26, 1121 (1977).

    Google Scholar 

  7. I. L. Bukhbinder and S. D. Odintsov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 8, 50 (1983).

    Google Scholar 

  8. I. L. Bukhbinder, Teor. Mat. Fiz.,61, 393 (1984).

    Google Scholar 

  9. I. L. Bukhbinder, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 12, 57 (1984).

    Google Scholar 

  10. I. L. Bukhbinder, Yad. Fiz.,40, 1338 (1984).

    Google Scholar 

  11. I. L. Bukhbinder and S. D. Odintsov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 12, 108 (1983); Lett Nuovo Cin.,42, 379 (1985).

    Google Scholar 

  12. E. S. Fradkin and O. K. Kalashnikov, J. Phys.,8A, 1814 (1975).

    Google Scholar 

  13. B. L. Voronov and I. V. Tyutin, Yad. Fiz.,23, 664 (1976).

    Google Scholar 

  14. T. S. Bunch and L. Parker, Phys. Rev.,20D, 2499 (1979).

    Google Scholar 

  15. I. L. Bukhbinder and S. D. Odintsov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 4, 46 (1983).

    Google Scholar 

  16. G. A. Vilcovisky, Nucl. Phys.,B234. 125 (1984).

    Google Scholar 

  17. E. S. Fradkin and A. A. Tseytlin, Nucl. Phys.,B234, 509 (1984).

    Google Scholar 

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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

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