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One-loop effective action for the gauge field in curved space-time

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Abstract

We consider the one-loop contribution of gluon fluctuations to the gauge-field effective action in a constant homogenous Abelian-like external (background) field in a space with nonzero curvature. We calculate the real and imaginary parts of the effective action and show that the chromomagnetic vacuum remains unstable in spite of the finite curvature of the space.

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References

  1. G. K. Savvidy,Phys. Lett. B,71, 133 (1977).

    Article  ADS  Google Scholar 

  2. N. K. Nielson and P. Olesen,Nucl. Phys. B,144, 376 (1976).

    Article  ADS  Google Scholar 

  3. A. A. Sokolov, I. M. Ternov, V. Ch. Zhukovskii and A. V. Borisov,Gauge Fields [in Russian] Moscow State Univ., Moscow (1986).

    Google Scholar 

  4. D. Ebert, V. Ch. Zhukovskii and A. S. Vshivtsev, “Thermodynamic potential with condensate fields in anSU (2) model of QCD”, Preprint DESY 96-102, DESY, Hamburg (1996).

    Google Scholar 

  5. A. O. Starinets, A. S. Vshivtsev and V. Ch. Zhukovskii,Phys. Lett. B,322, 403 (1994).

    Article  ADS  Google Scholar 

  6. G. Avramidy,J. Math. Phys.,36, 1557 (1995).

    Article  ADS  MathSciNet  Google Scholar 

  7. E. Elizalde, S. D. Odintsov and A. Romeo,Phys. Rev. D,54, 4152 (1996).

    Article  ADS  MathSciNet  Google Scholar 

  8. L. D. Faddeev and A. A. Slavnov,Gauge Fields. Introduction to Quantum Theory [in Russian], Nauka, Moscow (1978); English transl., Benjamin, London (1980).

    Google Scholar 

  9. I. L. Buchbinder, S. D. Odintsov and I. L. Shapiro,Effective Action in Quantum Gravity, IOP, Bristol (1992).

    Google Scholar 

  10. I. S. Gradshtein and I. M. Ryzhik,Tables of Integrals, Series, and Products [in Russian], Nauka, Moscow (1971); English transl., Acad. Press, New York (1980).

    Google Scholar 

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 117, No. 1, pp. 123–129, October, 1998.

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Zhukovskii, V.C., Mamsurov, I.V. One-loop effective action for the gauge field in curved space-time. Theor Math Phys 117, 1208–1213 (1998). https://doi.org/10.1007/BF02557161

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  • DOI: https://doi.org/10.1007/BF02557161

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