Built on

F. Briscese, G. Calcagni and L. Modesto, “Nonlinear stability in nonlocal gravity,” Phys. Rev. D 99
Original
1901
Earlier work this paper cites.
F. Briscese and L. Modesto, “Unattainability of the trans-Planckian regime in nonlocal quantum gravity,” JHEP 09
Original
1912
Earlier work this paper cites.
R. E. Cutkosky, “Singularities and Discontinuities of Feynman Amplitudes”, Journal of Mathematical Physics 1
1960
Earlier work this paper cites.
P. Van Nieuwenhuizen, Nuclear Physics B 60 478-492 (1973)
1973
Earlier work this paper cites.
N. V. Krasnikov, “Nonlocal Gauge Theories,” Theor. Math. Phys. 73
1987
Earlier work this paper cites.
Y. V. Kuz’min, “The Convergent Nonlocal Gravitation. (in Russian),” Sov. J. Nucl. Phys. 50
1989
Earlier work this paper cites.
M. Asorey, J. L. Lopez and I. L. Shapiro, “Some remarks on high derivative quantum gravity,” Int. J. Mod. Phys. A 12
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 dimensions,” J. Math. Phys. 43
2002
Earlier work this paper cites.

Similar

N. Ohta and L. Rachwal, “Effective action from the functional renormalization group,” Eur. Phys. J. C 80
Original
2002
Cited alongside, same era.
L. Modesto, “Super-renormalizable Quantum Gravity,” Phys. Rev. D 86
Original
2012
Cited alongside, same era.
L. Modesto and L. Rachwal, “Super-renormalizable and finite gravitational theories,” Nucl. Phys. B 889
Original
2014
Cited alongside, same era.
P. Doná, S. Giaccari, L. Modesto, L. Rachwal and Y. Zhu, “Scattering amplitudes in super-renormalizable gravity,” JHEP 1508
Original
2015
Cited alongside, same era.
L. Modesto and L. Rachwal, “Universally finite gravitational and gauge theories,” Nucl. Phys. B 900
Original

Then

L. Modesto and I. L. Shapiro, “Superrenormalizable quantum gravity with complex ghosts,” Phys. Lett. B 755
Original
2016
Later among the works it cites.
L. Modesto, “Super-renormalizable or finite Lee-Wick quantum gravity,” Nucl. Phys. B 909
Original
2016
Later among the works it cites.
L. Modesto, M. Piva and L. Rachwal, “Finite quantum gauge theories,” Phys. Rev. D 94
Original
2016
Later among the works it cites.
L. Modesto and L. Rachwal, Int. J. Mod. Phys. D 26
2017
Later among the works it cites.
S. Giaccari and L. Modesto, “Nonlocal supergravity,” Phys. Rev. D 96
Original
2017
Later among the works it cites.

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2021

Nonlocal Spacetime-Matter

Modesto, Leonardo

Understand

We propose a nonlocal field theory for gravity in presence of matter consistent with perturbative unitarity, quantum finiteness, and other essential classical properties that we are going to list below.

First, the theory exactly reproduces the same tree-level scattering amplitudes of Einstein's gravity coupled to matter insuring no violation of macro-causality.
Second, all the exact solutions of the Einstein's theory are also exact solutions of the nonlocal theory.
Finally, and most importantly, the linear and nonlinear stability analysis of the exact solutions in nonlocal gravity (with or without matter) is in one to one correspondence with the same analysis in General Relativity.

Built on

F. Briscese, G. Calcagni and L. Modesto, “Nonlinear stability in nonlocal gravity,” Phys. Rev. D 99
Original
1901
Earlier work this paper cites.
F. Briscese and L. Modesto, “Unattainability of the trans-Planckian regime in nonlocal quantum gravity,” JHEP 09
Original
1912
Earlier work this paper cites.
R. E. Cutkosky, “Singularities and Discontinuities of Feynman Amplitudes”, Journal of Mathematical Physics 1
1960
Earlier work this paper cites.
P. Van Nieuwenhuizen, Nuclear Physics B 60 478-492 (1973)
1973
Earlier work this paper cites.
N. V. Krasnikov, “Nonlocal Gauge Theories,” Theor. Math. Phys. 73
1987
Earlier work this paper cites.
Y. V. Kuz’min, “The Convergent Nonlocal Gravitation. (in Russian),” Sov. J. Nucl. Phys. 50
1989
Earlier work this paper cites.
M. Asorey, J. L. Lopez and I. L. Shapiro, “Some remarks on high derivative quantum gravity,” Int. J. Mod. Phys. A 12
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 dimensions,” J. Math. Phys. 43
2002
Earlier work this paper cites.