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Vacuum energy in effective field theory of general relativity

E. Epelbaum1, J. Gegelia1,2, and Ulf-G. Meißner3,4,5

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Phys. Rev. D 112, 106005 – Published 12 November, 2025

DOI: https://doi.org/10.1103/1tb5-h57r

Abstract

It is shown to all orders of perturbation theory that in the effective field theory of general relativity the condition of vanishing of the vacuum energy leads to the same value of the cosmological constant viewed as a parameter of the effective Lagrangian, as obtained by demanding the consistency of the effective field theory in the Minkowski background. The resulting effective action is characterized by the cosmological constant term that vanishes exactly.

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References (20)

  1. L. D. Faddeev, Sov. Phys. Usp. 25, 130 (1982).
  2. R. L. Jaffe, Phys. Rev. D 72, 021301 (2005).
  3. H. Nikolic, Phys. Lett. B 761, 197 (2016).
  4. D. Rubin and B. Hayden, Astrophys. J. 833, L30 (2016).
  5. J. Martin, C. R. Phys. 13, 566 (2012).
  6. S. Weinberg, Rev. Mod. Phys. 61, 1 (1989).
  7. S. Weinberg, The Quantum Theory of Fields, (Cambridge University Press, Cambridge, England, 2005), Vol. 1,2.
  8. G. Dvali and C. Gomez, J. Cosmol. Astropart. Phys. 01 (2014) 023.
  9. G. Dvali and C. Gomez, Ann. Phys. (Berlin) 528, 68 (2016).
  10. G. Dvali, C. Gomez, and S. Zell, J. Cosmol. Astropart. Phys. 06 (2017) 028.
  11. G. Dvali, Symmetry 13, 3 (2020).
  12. G. Dvali, A. Kobakhidze, and O. Sakhelashvili, Phys. Rev. D 110, 8 (2024).
  13. J. F. Donoghue, Phys. Rev. D 50, 3874 (1994).
  14. J. F. Donoghue and B. R. Holstein, J. Phys. G 42, 103102 (2015).
  15. J. F. Donoghue, M. M. Ivanov, and A. Shkerin, arXiv:1702.00319.
  16. D. Burns and A. Pilaftsis, Phys. Rev. D 91, 064047 (2015).
  17. J. Gegelia and U.-G. Meißner, Phys. Rev. D 100, 046021 (2019).
  18. J. Gegelia and U.-G. Meißner, Phys. Rev. D 100, 124002 (2019).
  19. E. Epelbaum, J. Gegelia, U.-G. Meißner, and L. Neuhaus, Phys. Rev. D 110, 046026 (2024).
  20. L. D. Landau and E. M. Lifschits, The Classical Theory of Fields (Pergamon Press, Oxford, 1975).

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Phys. Rev. D 112, 106005– Published 12 November, 2025
  • Received 27 June 2025
  • Accepted 26 October 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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