リケラボ論文検索は、全国の大学リポジトリにある学位論文・教授論文を一括検索できる論文検索サービスです。

リケラボ 全国の大学リポジトリにある学位論文・教授論文を一括検索するならリケラボ論文検索大学・研究所にある論文を検索できる

リケラボ 全国の大学リポジトリにある学位論文・教授論文を一括検索するならリケラボ論文検索大学・研究所にある論文を検索できる

大学・研究所にある論文を検索できる 「DeWitt boundary condition is consistent in Hořava-Lifshitz quantum gravity」の論文概要。リケラボ論文検索は、全国の大学リポジトリにある学位論文・教授論文を一括検索できる論文検索サービスです。
リケラボ

コピーが完了しました

URLをコピーしました

論文の公開元へ論文の公開元へ
書き出し

DeWitt boundary condition is consistent in Hořava-Lifshitz quantum gravity

Matsui, Hiroki Mukohyama, Shinji Naruko, Atsushi 京都大学 DOI:10.1016/j.physletb.2022.137340

2022.10

概要

In quantum cosmology the DeWitt boundary condition is a proposal to set the wave function of the universe to vanish at the classical big-bang singularity. In this Letter, we show that in many gravitational theories including general relativity, the DeWitt wave function does not take a desired form once tensor perturbations around a homogeneous and isotropic closed universe are taken into account: anisotropies and inhomogeneities due to the perturbations are not suppressed near the classical singularity. We then show that Hořava-Lifshitz gravity provides a satisfactory DeWitt wave function. In particular, in the limit of z = 3 anisotropic scaling, we find an exact analytic expression for the DeWitt wave function of the universe with scale-invariant perturbations. In general cases with relevant deformations, we show that the DeWitt wave function can be systematically expanded around the classical big-bang singularity with perturbations under control.

論文の公開元へ

この論文で使われている画像

関連論文

関連論文をもっと見る

参考文献

1. B.S. DeWitt, Phys. Rev. 160 (1967) 1113–1148, https://doi.org/10.1103/PhysRev.

160.1113.

2. R.L. Arnowitt, S. Deser, C.W. Misner, Gen. Relativ. Gravit. 40 (2008) 1997–2027, https://doi.org/10.1007/s10714-008-0661-1, arXiv:gr-qc/0405109 [gr-qc].

3. J.J. Halliwell, Phys. Rev. D 38 (1988) 2468, https://doi.org/10.1103/PhysRevD.38.

2468.

4. J.B. Hartle, S.W. Hawking, Phys. Rev. D 28 (1983) 2960–2975, https://doi.org/10. 1103/PhysRevD.28.2960.

5. A. Vilenkin, Phys. Rev. D 30 (1984) 509–511, https://doi.org/10.1103/PhysRevD.30.509.

6. J. Feldbrugge, J.L. Lehners, N. Turok, Phys. Rev. Lett. 119 (17) (2017) 171301, https://doi.org/10.1103/PhysRevLett.119.171301, arXiv:1705.00192 [hep-th].

7. J. Feldbrugge, J.L. Lehners, N. Turok, Phys. Rev. D 97 (2) (2018) 023509, https:// doi.org/10.1103/PhysRevD.97.023509, arXiv:1708.05104 [hep-th].

8. J. Diaz Dorronsoro, J.J. Halliwell, J.B. Hartle, T. Hertog, O. Janssen, Y. Vreys, Phys. Rev. Lett. 121 (8) (2018) 081302, https://doi.org/10.1103/PhysRevLett.121.081302, arXiv:1804.01102 [gr-qc].

9. J. Feldbrugge, J.L. Lehners, N. Turok, Universe 4 (10) (2018) 100, https://doi.org/ 10.3390/universe4100100, arXiv:1805.01609 [hep-th].

10. A. Vilenkin, M. Yamada, Phys. Rev. D 98 (6) (2018) 066003, https://doi.org/10. 1103/PhysRevD.98.066003, arXiv:1808.02032 [gr-qc].

11. M. Bojowald, S. Brahma, Phys. Rev. Lett. 121 (20) (2018) 201301, https://doi. org/10.1103/PhysRevLett.121.201301, arXiv:1810.09871 [gr-qc].

12. J.J. Halliwell, J.B. Hartle, T. Hertog, Phys. Rev. D 99 (4) (2019) 043526, https:// doi.org/10.1103/PhysRevD.99.043526, arXiv:1812.01760 [hep-th].

13. A. Vilenkin, M. Yamada, Phys. Rev. D 99 (6) (2019) 066010, https://doi.org/10. 1103/PhysRevD.99.066010, arXiv:1812.08084 [gr-qc].

14. A. Di Tucci, J.L. Lehners, Phys. Rev. Lett. 122 (20) (2019) 201302, https://doi. org/10.1103/PhysRevLett.122.201302, arXiv:1903.06757 [hep-th].

15. S.J. Wang, M. Yamada, A. Vilenkin, J. Cosmol. Astropart. Phys. 08 (2019) 025, https://doi.org/10.1088/1475-7516/2019/08/025, arXiv:1903.11736 [gr-qc].

16. A. Di Tucci, J. Feldbrugge, J.L. Lehners, N. Turok, Phys. Rev. D 100 (6) (2019) 063517, https://doi.org/10.1103/PhysRevD.100.063517, arXiv:1906.09007 [hep- th].

17. J.L. Lehners, Phys. Rev. D 104 (6) (2021) 063527, https://doi.org/10.1103/ PhysRevD.104.063527, arXiv:2105.12075 [hep-th].

18. P. Horava, Phys. Rev. D 79 (2009) 084008, https://doi.org/10.1103/PhysRevD.79.084008, arXiv:0901.3775 [hep-th].

19. S. Mukohyama, J. Cosmol. Astropart. Phys. 06 (2009) 001, https://doi.org/10. 1088/1475-7516/2009/06/001, arXiv:0904.2190 [hep-th].

20. U.H. Gerlach, U.K. Sengupta, Phys. Rev. D 18 (1978) 1773–1784, https://doi.org/ 10.1103/PhysRevD.18.1773.

21. S.W. Hawking, D.N. Page, Nucl. Phys. B 264 (1986) 185–196, https://doi.org/10. 1016/0550-3213(86)90478-5.

22. A. Vilenkin, Phys. Rev. D 37 (1988) 888, https://doi.org/10.1103/PhysRevD.37.888.

23. R. Steigl, F. Hinterleitner, Class. Quantum Gravity 23 (2006) 3879–3894, https:// doi.org/10.1088/0264-9381/23/11/013, arXiv:gr-qc/0511149 [gr-qc].

24. A.O. Barvinsky, D. Blas, M. Herrero-Valea, S.M. Sibiryakov, C.F. Steinwachs, Phys. Rev. D 93 (6) (2016) 064022, https://doi.org/10.1103/PhysRevD.93.064022, arXiv:1512.02250 [hep-th].

25. A.O. Barvinsky, D. Blas, M. Herrero-Valea, S.M. Sibiryakov, C.F. Steinwachs, J. High Energy Phys. 07 (2018) 035, https://doi.org/10.1007/JHEP07(2018)035, arXiv:1705.03480 [hep-th].

26. S.F. Bramberger, A. Coates, J. Magueijo, S. Mukohyama, R. Namba, Y. Watanabe, Phys. Rev. D 97 (4) (2018) 043512, https://doi.org/10.1103/PhysRevD.97.043512, arXiv:1709.07084 [hep-th].

27. S. Mukohyama, Class. Quantum Gravity 27 (2010) 223101, https://doi.org/10. 1088/0264-9381/27/22/223101, arXiv:1007.5199 [hep-th].H. Matsui, S. Mukohyama and A. Naruko Physics Letters B 833 (2022) 137340

28. K. Izumi, S. Mukohyama, Phys. Rev. D 84 (2011) 064025, https://doi.org/10. 1103/PhysRevD.84.064025, arXiv:1105.0246 [hep-th].

29. A.E. Gumrukcuoglu, S. Mukohyama, A. Wang, Phys. Rev. D 85 (2012) 064042, https://doi.org/10.1103/PhysRevD.85.064042, arXiv:1109.2609 [hep-th].

30. S. Mukohyama, Phys. Rev. D 80 (2009) 064005, https://doi.org/10.1103/ PhysRevD.80.064005, arXiv:0905.3563 [hep-th].

31. S. Mukohyama, J. Cosmol. Astropart. Phys. 09 (2009) 005, https://doi.org/10. 1088/1475-7516/2009/09/005, arXiv:0906.5069 [hep-th].

32. D.L. Wiltshire, arXiv:gr-qc/0101003 [gr-qc].

33. A. Kleinschmidt, M. Koehn, H. Nicolai, Phys. Rev. D 80 (2009) 061701, https:// doi.org/10.1103/PhysRevD.80.061701, arXiv:0907.3048 [gr-qc].

参考文献をもっと見る

全国の大学の
卒論・修論・学位論文
を
一発検索！

この論文の関連論文を見る