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Affine-Goldstone/Quartet-Metric Gravity and Beyond

  • Elementary Particles and Fields
  • Theory
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Abstract

As a group—theoretic foundation of gravity, it is considered an affine-Goldstone nonlinear model based upon the nonlinear realization of the global affine symmetry spontaneously broken at the Planck scale to the Poincaré symmetry. It is shown that below this scale the model justifies and elaborates an earlier introduced effective field theory of the quartet-metric gravity incorporating the gravitational dark substances emerging in addition to the tensor graviton. The prospects for subsequent going beyond the nonlinear model above the Planck scale are indicated.

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References

  1. C. Patrignani et al. (Particle Data Group), Chin. Phys. C 40, 100001 (2016).

    Article  ADS  Google Scholar 

  2. Y. F. Pirogov, Eur. Phys. J. C 76, 215 (2016); arXiv:1511.04742 [gr-gc].

    Article  ADS  Google Scholar 

  3. Y. F. Pirogov, in Proceedings of the XXXI International Workshop on HEP: Critical Points in the Modern Particle Physics, Protvino, Russia, 5–7 July 2017, Int. J. Mod. Phys.: Conf. Ser. 47, 1860101 (2018); arXiv: 1712.00612 [gr-gc].

    Google Scholar 

  4. C. J. Isham, A. Salam, and J. Strathdee, Ann. Phys. (N. Y.) 62, 98 (1971).

    Article  ADS  Google Scholar 

  5. A. B. Borisov and V. I. Ogievetsky, Teor. Mat. Fiz. 21, 329 (1974) [Theor. Math. Phys. 21, 1179 (1974)]; Preprint JINR-E2-7684 (Dubna, 1975).

    Article  Google Scholar 

  6. S. Coleman, J. Wess, and B. Zumino, Phys. Rev. D 177, 2239 (1969).

    Article  ADS  Google Scholar 

  7. C. G. Callan, Jr., S. Coleman, J. Wess, and B. Zumino, Phys. Rev. D 177, 2247 (1969).

    Article  ADS  Google Scholar 

  8. A. Salam and J. Strathdee, Phys. Rev. D 184, 1750 (1969).

    Article  ADS  Google Scholar 

  9. C. J. Isham, Nuovo Cimento A 61, 188 (1969).

    Article  ADS  Google Scholar 

  10. Yu. F. Pirogov, Yad. Fiz. 68, 1966 (2005) [Phys. At. Nucl. 68, 1904 (2005)]; gr-qc/0405110.

    Google Scholar 

  11. G. Sardanashvily, Phys. Lett. A 75, 257 (1980).

    Article  ADS  Google Scholar 

  12. V. I. Ogievetsky, Lett. Nuovo Cimento 8, 988 (1973).

    Article  MathSciNet  Google Scholar 

  13. Y. F. Pirogov, J. Cosmol. Astropart. Phys. 01, 055 (2019); arXiv:1811.12923 [gr-gc].

    Article  ADS  Google Scholar 

Download references

Acknowledgments

The author is grateful to S. S. Gershtein for interest to the work and encouragement, and to V. V. Kabachenko for discussions.

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Authors and Affiliations

  1. Institute for High Energy Physics, National Research Center Kurchatov Institute, Protvino, 142280, Russia

    Yu. F. Pirogov

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  1. Yu. F. Pirogov
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Correspondence to Yu. F. Pirogov.

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Pirogov, Y.F. Affine-Goldstone/Quartet-Metric Gravity and Beyond. Phys. Atom. Nuclei 82, 503–512 (2019). https://doi.org/10.1134/S1063778819050120

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  • DOI: https://doi.org/10.1134/S1063778819050120

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