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Teoreticheskaya i Matematicheskaya Fizika, 1990, Volume 82, Number 1, Pages 66–74 (Mi tmf5395)  
This article is cited in 19 scientific papers (total in 19 papers)

Vilkovisky effective action in quantum gravity with matter

S. D. Odyntsov
Full-text PDF (910 kB) Citations (19)
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Abstract: The single-loop Vilkovisky effective action in Einstein quantum gravity with matter in de Sitter space and in R2 gravity with matter in flat space is obtained. It is shown that in de Sitter space the obtained effective action contains an imaginary part, indicating, in general, the presence of vacuum instability.
Received: 10.11.1988
English version:
Theoretical and Mathematical Physics, 1990, Volume 82, Issue 1, Pages 45–51
DOI: https://doi.org/10.1007/BF01028251
Bibliographic databases:
Language: Russian
Citation: S. D. Odyntsov, “Vilkovisky effective action in quantum gravity with matter”, TMF, 82:1 (1990), 66–74; Theoret. and Math. Phys., 82:1 (1990), 45–51
Citation in format AMSBIB
\Bibitem{Ody90}
\by S.~D.~Odyntsov
\paper Vilkovisky effective action in~quantum gravity with matter
\jour TMF
\yr 1990
\vol 82
\issue 1
\pages 66--74
\mathnet{http://mi.mathnet.ru/tmf5395}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1050299}
\transl
\jour Theoret. and Math. Phys.
\yr 1990
\vol 82
\issue 1
\pages 45--51
\crossref{https://doi.org/10.1007/BF01028251}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1990DY17800008}
Linking options:
  • https://www.mathnet.ru/eng/tmf5395
  • https://www.mathnet.ru/eng/tmf/v82/i1/p66
    • This publication is cited in the following 19 articles:
    1. Hassan Firouzjahi, Haidar Sheikhahmadi, “Vacuum zero point energy of self-interacting quantum fields in dS background”, Phys. Rev. D, 109:12 (2024)  crossref
    2. Hassan Firouzjahi, Haidar Sheikhahmadi, “Vacuum zero point energy and its statistical correlations in dS background”, Phys. Rev. D, 108:6 (2023)  crossref
    3. Park I.Y., “Revisiting the Renormalization of Einstein-Maxwell Theory At One-Loop”, Prog. Theor. Exp. Phys., 2021:1 (2021), 013B03  crossref  isi
    4. I Y Park, “Black hole evolution in a quantum-gravitational framework”, Progress of Theoretical and Experimental Physics, 2021:6 (2021)  crossref
    5. Latosh B., “One-Loop Effective Scalar-Tensor Gravity”, Eur. Phys. J. C, 80:9 (2020), 845  crossref  isi
    6. Sandeep Aashish, Sukanta Panda, “Covariant quantum corrections to a scalar field model inspired by nonminimal natural inflation”, J. Cosmol. Astropart. Phys., 2020:06 (2020), 009  crossref
    7. Park I., “Foliation-Based Approach to Quantum Gravity and Applications to Astrophysics”, Universe, 5:3 (2019), 71  crossref  isi  scopus
    8. I. Y. Park, “Four-dimensional covariance of Feynman diagrams in Einstein gravity”, Theoret. and Math. Phys., 195:2 (2018), 745–763  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    9. Park I.Y., “One-Loop Renormalization of a Gravity-Scalar System”, Eur. Phys. J. C, 77:5 (2017), 337  crossref  isi
    10. I. Y. Park, “Quantum‐corrected Geometry of Horizon Vicinity”, Fortschritte der Physik, 65:12 (2017)  crossref
    11. Kazuharu Bamba, Guido Cognola, Sergei D. Odintsov, Sergio Zerbini, “One-loop modified gravity in a de Sitter universe, quantum-corrected inflation, and its confrontation with the Planck result”, Phys. Rev. D, 90:2 (2014)  crossref
    12. Artur R. Pietrykowski, “Interacting scalar fields in the context of effective quantum gravity”, Phys. Rev. D, 87:2 (2013)  crossref
    13. Guido Cognola, Emilio Elizalde, Sergio Zerbini, “One-loop Euclidean Einstein-Weyl gravity in the de Sitter universe”, Phys. Rev. D, 87:4 (2013)  crossref
    14. Miao Li, Rong-Xin Miao, Yi Pang, “More studies on metamaterials mimicking de Sitter space”, Opt. Express, 18:9 (2010), 9026  crossref
    15. David J. Toms, “Quantum gravity and charge renormalization”, Phys. Rev. D, 76:4 (2007)  crossref
    16. G Cognola, S Zerbini, “One-loopf(R) gravitational modified models”, J. Phys. A: Math. Gen., 39:21 (2006), 6245  crossref
    17. Guido Cognola, Emilio Elizalde, Shin'ichi Nojiri, Sergei D Odintsov, Sergio Zerbini, “One-loopf(R) gravity in de Sitter universe”, J. Cosmol. Astropart. Phys., 2005:02 (2005), 010  crossref
    18. A.A. Bytsenko, S.D. Odintsov, S. Zerbini, “The effective action in gauged supergravity on hyperbolic background and induced cosmological constant”, Physics Letters B, 336:3-4 (1994), 355  crossref
    19. S. D. Odintsov, “Vilkovisky-de Witt effective action in quantum field theory in curved spacetime”, Soviet Physics Journal, 34:4 (1991), 370  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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