Classical and Quantum Consistency of the DGP Model
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The normal branch ρ- does not suffer from the same problems and may provide a healthy effective description of bulk gravity.
“On the other hand, ρ -, known as the normal branch, does not suffer from the same problems, and may well provide a healthy effective description of bulk gravity (e.g.[10]).”
From Out of the White Hole: A Holographic Origin for the Big Bang (2014) · cites this paper as [10]
Section 5 (page unavailable) finds a ghost-like instability in the self-accelerating de Sitter solution. Sections 1 and 4 say that the solution trivial at spatial infinity is stable against small fluctuations under specified source and boundary conditions. The paper does not call this solution the normal branch ρ− or establish that it avoids all the model’s problems; its Introduction and Outlook retain qualifications about quantum predictivity and UV completion. Thus the claim’s broader suggestion of a healthy effective description of bulk gravity goes beyond what the paper shows. (LLM, conf=0.84)
Experimental — accuracy not yet measuredSelf-accelerating DGP solutions suffer from ghosts and tachyons as well as some pathological singularities.
“However, it turned out that SA solutions suffer from ghosts and tachyons [8][9][10][11] as well as some pathological singularities [12].”
From Out of the White Hole: A Holographic Origin for the Big Bang (2014) · cites this paper as [10]
Section 5 (de Sitter solution; page unavailable) confirms a ghost-like kinetic term around the self-accelerating solution. It does not establish that this solution has tachyons; section 4 discusses tachyonic instability only as a general possibility. The singularities claim is attached to a different citation, [12]. (LLM, conf=0.87)
Experimental — accuracy not yet measuredThe self-accelerating branch suffers from a negative energy ghost instability.
“However, as discussed in the introduction, SA branch suffers from a negative energy ghost instability.”
From Out of the White Hole: A Holographic Origin for the Big Bang (2014) · cites this paper as [10]
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Cites
The gravitational Hamiltonian, action, entropy and surface terms
Hawking, S. W., & Horowitz, G. T. (1996) · Classical and Quantum Gravity · doi:10.1088/0264-9381/13/6/017 · Cited by 704 · see citing works
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Research works printed but not linked: 29
- M. Fierz and W. Pauli, "On Relativistic Wave Equations For Particles Of Arbitrary Spin In An Electromagnetic Field," Proc. Roy. Soc. Lond. A 173, 211 (1939).
- P. Van Nieuwenhuizen, "On Ghost-Free Tensor Lagrangians And Linearized Gravita- tion," Nucl. Phys. B 60, 478 (1973).
- R. Gregory, V. A. Rubakov and S. M. Sibiryakov, "Opening up extra dimensions at ultra-large scales," Phys. Rev. Lett. 84, 5928 (2000) [arXiv:hep-th/0002072]. · arXiv
- G. R. Dvali, G. Gabadadze and M. Porrati, "4D gravity on a brane in 5D Minkowski space," Phys. Lett. B 485, 208 (2000) [arXiv:hep-th/0005016]. · arXiv
- N. Arkani-Hamed, H. C. Cheng, M. A. Luty and S. Mukohyama, "Ghost condensation and a consistent infrared modification of gravity," arXiv:hep-th/0312099. · arXiv
- G. Dvali, G. Gabadadze and M. Shifman, "Diluting cosmological constant in infinite volume extra dimensions," Phys. Rev. D 67, 044020 (2003) [arXiv:hep-th/0202174]. · arXiv
- C. Deffayet, "Cosmology on a brane in Minkowski bulk," Phys. Lett. B 502, 199 (2001) [arXiv:hep-th/0010186]. · arXiv
- C. Deffayet, G. R. Dvali and G. Gabadadze, "Accelerated universe from gravity leaking to extra dimensions," Phys. Rev. D 65, 044023 (2002) [arXiv:astro-ph/0105068]. · arXiv
- A. Lue and G. Starkman, "Gravitational leakage into extra dimensions: Probing dark energy using local gravity," Phys. Rev. D 67, 064002 (2003) [arXiv:astro-ph/0212083]. · arXiv
- G. Dvali, A. Gruzinov and M. Zaldarriaga, "The accelerated universe and the Moon," Phys. Rev. D 68, 024012 (2003) [arXiv:hep-ph/0212069]. · arXiv
- M. A. Luty, M. Porrati and R. Rattazzi, "Strong interactions and stability in the DGP model," JHEP 0309, 029 (2003) [arXiv:hep-th/0303116]. · arXiv
- V. A. Rubakov, "Strong coupling in brane-induced gravity in five dimensions," arXiv:hep-th/0303125. · arXiv
- A. I. Vainshtein, "To The Problem Of Nonvanishing Gravitation Mass," Phys. Lett. B 39, 393 (1972).
- C. Deffayet, G. R. Dvali, G. Gabadadze and A. I. Vainshtein, "Nonperturbative con- tinuity in graviton mass versus perturbative discontinuity," Phys. Rev. D 65, 044026 (2002) [arXiv:hep-th/0106001]. · arXiv
- N. Arkani-Hamed, H. Georgi and M. D. Schwartz, "Effective field theory for massive gravitons and gravity in theory space," Annals Phys. 305, 96 (2003) [arXiv:hep-th/0210184]. · arXiv
- H. van Dam and M. J. Veltman, "Massive And Massless Yang-Mills And Gravitational Fields," Nucl. Phys. B 22, 397 (1970);
- V. I. Zakharov, JETP Lett. 12, 312 (1970).
- A. Gruzinov, "On the graviton mass," arXiv:astro-ph/0112246. · arXiv
- M. Porrati, "Fully covariant van Dam-Veltman-Zakharov discontinuity, and absence thereof," Phys. Lett. B 534, 209 (2002) [arXiv:hep-th/0203014]. · arXiv
- T. Tanaka, "Weak gravity in DGP braneworld model," Phys. Rev. D 69, 024001 (2004) [arXiv:gr-qc/0305031]. · arXiv
- G. W. Gibbons and S. W. Hawking, "Action Integrals And Partition Functions In Quantum Gravity," Phys. Rev. D 15, 2752 (1977);
- J. M. Cline, S. y. Jeon and G. D. Moore, "The phantom menaced: Constraints on low-energy effective ghosts," arXiv:hep-ph/0311312. · arXiv
- R. Rattazzi and A. Zaffaroni, "Comments on the holographic picture of the Randall- Sundrum model," JHEP 0104, 021 (2001) [arXiv:hep-th/0012248]. · arXiv
- C. D. Hoyle, U. Schmidt, B. R. Heckel, E. G. Adelberger, J. H. Gundlach, D. J. Kap- ner and H. E. Swanson, "Sub-millimeter tests of the gravitational inverse-square law: A search for 'large' extra dimensions," Phys. Rev. Lett. 86, 1418 (2001) [arXiv:hep-ph/0011014]; · arXiv
- E. G. Adelberger [EOT-WASH Group Collaboration], "Sub- millimeter tests of the gravitational inverse square law," arXiv:hep-ex/0202008. · arXiv
- J. Chiaverini, S. J. Smullin, A. A. Geraci, D. M. Weld and A. Kapitulnik, "New ex- perimental constraints on non-Newtonian forces below 100 µm," Phys. Rev. Lett. 90, 151101 (2003) [arXiv:hep-ph/0209325]. · arXiv
- J. C. Long, H. W. Chan and J. C. Price, "Experimental status of gravitational- strength forces in the sub-centimeter regime," Nucl. Phys. B 539, 23 (1999) [arXiv:hep-ph/9805217]; · arXiv
- J. C. Long and J. C. Price, "Current short-range tests of the gravitational inverse square law," Comptes Rendus Physique 4, 337 (2003) [arXiv:hep-ph/0303057]. · arXiv
- G. Dvali, "Infrared modification of gravity," arXiv:hep-th/0402130. · arXiv
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- Authors
- Nicolis, A., & Rattazzi, R.
- Venue
- Journal of High Energy Physics
- Published
- 2004-07-01
- Volume
- 2004
- Issue
- 06
- Pages
- 059-059
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W2126881586
- Cited by
- 550
- References
- 1
- Citations by year
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- FWCI
- 14.97
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Journal of High Energy Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Infoscience (Ecole Polytechnique Fédérale de Lausanne) (submittedVersion)
- Infoscience (Ecole Polytechnique Fédérale de Lausanne) (submittedVersion, cc-by-nc-nd)
- arXiv (Cornell University)
- Funders
- CERN
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- Dvali-Gabadadze-Porrati model, braneworld gravity, Vainshtein screening, bending modes, quantum corrections, strong coupling, UV completion, counterterms, extrinsic curvature, modified gravity, tests of general relativity
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