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F. Briscese, G. Calcagni and L. Modesto, Nonlinear stability in nonlocal gravity, arXiv:1901.03267
Original
1901
Earlier work this paper cites.
A. Pais and G.E. Uhlenbeck, On field theories with non-localized action, Phys. Rev. 79 (1950) 145
1950
Earlier work this paper cites.
K.S. Stelle, Renormalization of higher-derivative quantum gravity, Phys. Rev. D 16 (1977) 953
1977
Earlier work this paper cites.
K.S. Stelle, Classical gravity with higher derivatives, Gen. Rel. Grav. 9 (1978) 353
1978
Earlier work this paper cites.
N.V. Krasnikov, Nonlocal gauge theories, Theor. Math. Phys. 73 (1987) 1184 [ Teor. Mat. Fiz. 73 (1987) 235 ]
1987
Earlier work this paper cites.
Y.V. Kuz’min, The convergent nonlocal gravitation, Yad. Fiz. 50 (1989) 1630 [Sov. J. Nucl. Phys. 50 (1989) 1011]
1989
Earlier work this paper cites.
A. Hindawi, B.A. Ovrut and D. Waldram, Consistent spin-two coupling and quadratic gravitation, Phys. Rev. D 53 (1996) 5583 [ arXiv:hep-th/9509142 ]
1996
Earlier work this paper cites.
M. Asorey, J.L. López and I.L. Shapiro, Some remarks on high derivative quantum gravity, Int. J. Mod. Phys. A 12 (1997) 5711 [ arXiv:hep-th/9610006 ]
1997
Earlier work this paper cites.
A. Accioly, A. Azeredo and H. Mukai, Propagator, tree-level unitarity and effective nonrelativistic potential for higher-derivative gravity theories in D D dimensions, J. Math. Phys. (N.Y.) 43 (2002) 473
2002
Earlier work this paper cites.
T. Biswas, A. Mazumdar and W. Siegel, Bouncing universes in string-inspired gravity, J. Cosmol. Astropart. Phys. 0603 (2006) 009 [ arXiv:hep-th/0508194 ]
2006
Earlier work this paper cites.
G. Calcagni, M. Montobbio and G. Nardelli, Route to nonlocal cosmology, Phys. Rev. D 76 (2007) 126001 [ arXiv:0705.3043 ]
Original
2007
Earlier work this paper cites.
G. Calcagni, M. Montobbio and G. Nardelli, Localization of nonlocal theories, Phys. Lett. B 662 (2008) 285 [ arXiv:0712.2237 ]
Original
2008
Earlier work this paper cites.
D. Oriti (Ed.), Approaches to Quantum Gravity, Cambridge University Press, Cambridge, U.K., 2009
2009
Earlier work this paper cites.
Y.-W. Kim, H.W. Lee and Y.S. Myung, Nonpropagation of scalar in the deformed Hořava–Lifshitz gravity, Phys. Lett. B 682 (2009) 246 [ arXiv:0905.3423 ]
Original
2009
Earlier work this paper cites.
D. Blas, O. Pujolàs and S. Sibiryakov, On the extra mode and inconsistency of Hořava gravity, J. High Energy Phys. 0910 (2009) 029 [ arXiv:0906.3046 ]
Original
2009
Earlier work this paper cites.
G. Calcagni, G. Nardelli, Nonlocal gravity and the diffusion equation, Phys. Rev. D 82 (2010) 123518 [ arXiv:1004.5144 ]
Original
2010
Earlier work this paper cites.
T. Biswas, T. Koivisto and A. Mazumdar, Towards a resolution of the cosmological singularity in non-local higher derivative theories of gravity, J. Cosmol. Astropart. Phys. 1011 (2010) 008 [ arXiv:1005.0590 ]
Original
2010
Earlier work this paper cites.
G. Calcagni and G. Nardelli, String theory as a diffusing system, J. High Energy Phys. 1002 (2010) 093 [ arXiv:0910.2160 ]
Original
2010
Earlier work this paper cites.
W. Ulmer, Inverse problem of linear combinations of Gaussian convolution kernels (deconvolution) and some applications to proton/photon dosimetry and image processing, Inverse Problems 26 (2010) 085002
2010
Earlier work this paper cites.

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A.S. Koshelev, L. Modesto, L. Rachwał and A.A. Starobinsky, Occurrence of exact R 2 R^{2} inflation in non-local UV-complete gravity, J. High Energy Phys. 1611 (2016) 067 [ arXiv:1604.03127 ]
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V.P. Frolov, Notes on nonsingular models of black holes, Phys. Rev. D 94 (2016) 104056 [ arXiv:1609.01758 ]
Original
2016
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Original
2016
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2018

Non-perturbative spectrum of non-local gravity

Calcagni, Gianluca, Modesto, Leonardo, Nardelli, Giuseppe

Understand

We investigate the non-perturbative degrees of freedom of a class of weakly non-local gravitational theories that have been proposed as an ultraviolet completion of general relativity.

At the perturbative level, it is known that the degrees of freedom of non-local gravity are the same of the Einstein--Hilbert theory around any maximally symmetric spacetime.
We prove that, at the non-perturbative level, the degrees of freedom are actually eight in four dimensions, contrary to what one might guess on the basis of the "infinite number of derivatives" present in the action.
It is shown that six of these degrees of freedom do not propagate on Minkowski spacetime, but they might play a role at large scales on curved backgrounds.

Built on

F. Briscese, G. Calcagni and L. Modesto, Nonlinear stability in nonlocal gravity, arXiv:1901.03267
Original
1901
Earlier work this paper cites.
A. Pais and G.E. Uhlenbeck, On field theories with non-localized action, Phys. Rev. 79 (1950) 145
1950
Earlier work this paper cites.
K.S. Stelle, Renormalization of higher-derivative quantum gravity, Phys. Rev. D 16 (1977) 953
1977
Earlier work this paper cites.
K.S. Stelle, Classical gravity with higher derivatives, Gen. Rel. Grav. 9 (1978) 353
1978
Earlier work this paper cites.
N.V. Krasnikov, Nonlocal gauge theories, Theor. Math. Phys. 73 (1987) 1184 [ Teor. Mat. Fiz. 73 (1987) 235 ]
1987
Earlier work this paper cites.
Y.V. Kuz’min, The convergent nonlocal gravitation, Yad. Fiz. 50 (1989) 1630 [Sov. J. Nucl. Phys. 50 (1989) 1011]
1989
Earlier work this paper cites.
A. Hindawi, B.A. Ovrut and D. Waldram, Consistent spin-two coupling and quadratic gravitation, Phys. Rev. D 53 (1996) 5583 [ arXiv:hep-th/9509142 ]
1996
Earlier work this paper cites.
M. Asorey, J.L. López and I.L. Shapiro, Some remarks on high derivative quantum gravity, Int. J. Mod. Phys. A 12 (1997) 5711 [ arXiv:hep-th/9610006 ]
1997
Earlier work this paper cites.
A. Accioly, A. Azeredo and H. Mukai, Propagator, tree-level unitarity and effective nonrelativistic potential for higher-derivative gravity theories in D D dimensions, J. Math. Phys. (N.Y.) 43 (2002) 473
2002
Earlier work this paper cites.
T. Biswas, A. Mazumdar and W. Siegel, Bouncing universes in string-inspired gravity, J. Cosmol. Astropart. Phys. 0603 (2006) 009 [ arXiv:hep-th/0508194 ]
2006
Earlier work this paper cites.
G. Calcagni, M. Montobbio and G. Nardelli, Route to nonlocal cosmology, Phys. Rev. D 76 (2007) 126001 [ arXiv:0705.3043 ]
Original
2007
Earlier work this paper cites.
G. Calcagni, M. Montobbio and G. Nardelli, Localization of nonlocal theories, Phys. Lett. B 662 (2008) 285 [ arXiv:0712.2237 ]
Original
2008
Earlier work this paper cites.
D. Oriti (Ed.), Approaches to Quantum Gravity, Cambridge University Press, Cambridge, U.K., 2009
2009
Earlier work this paper cites.
Y.-W. Kim, H.W. Lee and Y.S. Myung, Nonpropagation of scalar in the deformed Hořava–Lifshitz gravity, Phys. Lett. B 682 (2009) 246 [ arXiv:0905.3423 ]
Original
2009
Earlier work this paper cites.
D. Blas, O. Pujolàs and S. Sibiryakov, On the extra mode and inconsistency of Hořava gravity, J. High Energy Phys. 0910 (2009) 029 [ arXiv:0906.3046 ]
Original
2009
Earlier work this paper cites.
G. Calcagni, G. Nardelli, Nonlocal gravity and the diffusion equation, Phys. Rev. D 82 (2010) 123518 [ arXiv:1004.5144 ]
Original
2010
Earlier work this paper cites.
T. Biswas, T. Koivisto and A. Mazumdar, Towards a resolution of the cosmological singularity in non-local higher derivative theories of gravity, J. Cosmol. Astropart. Phys. 1011 (2010) 008 [ arXiv:1005.0590 ]
Original
2010
Earlier work this paper cites.
G. Calcagni and G. Nardelli, String theory as a diffusing system, J. High Energy Phys. 1002 (2010) 093 [ arXiv:0910.2160 ]
Original
2010
Earlier work this paper cites.
W. Ulmer, Inverse problem of linear combinations of Gaussian convolution kernels (deconvolution) and some applications to proton/photon dosimetry and image processing, Inverse Problems 26 (2010) 085002
2010
Earlier work this paper cites.