Fetching the paper…
Reading the bibliography…
Following the same steps made for a scalar field in a parallel publication, we propose a class of perturbative theories of quantum gravity based on fractional operators, where the kinetic operator of the graviton is either made of fractional derivatives or a covariant fractional d'Alembertian.
1907
Earlier work this paper cites.
Wataghin G 1934 Bemerkung über die Selbstenergie der Elektronen Z. Physik 88
1934
Earlier work this paper cites.
Yukawa H 1949 On the radius of the elementary particle Phys. Rev. 76
1949
Earlier work this paper cites.
Pais A and Uhlenbeck G E 1950 On field theories with non-localized action Phys. Rev. 79
1950
Earlier work this paper cites.
Yukawa H 1950 Quantum theory of non-local fields. Part I. Free fields Phys. Rev. 77
1950
Earlier work this paper cites.
Misner C W, Thorne K S and Wheeler J A 1973 Gravitation (San Francisco, CA: Freeman)
1973
Earlier work this paper cites.
Stelle K S 1977 Renormalization of higher-derivative quantum gravity Phys. Rev. D 16
1977
Earlier work this paper cites.
O’Shaughnessy B and Procaccia I 1985 Analytical solutions for diffusion on fractal objects Phys. Rev. Lett. 54
1985
Earlier work this paper cites.
Pauli W 1933 Die allgemeinen Prinzipien der Wellenmechanik Handb. Phys. XXIV/1
1990
Earlier work this paper cites.
Giona M and Roman H E 1992 Fractional diffusion equation for transport phenomena in random media Physica A 185
1992
Earlier work this paper cites.
Miller K S and Ross B 1993 An Introduction to the Fractional Calculus and Fractional Differential Equations (New York: Wiley)
1993
Earlier work this paper cites.
Samko S G, Kilbas A A and Marichev O I 1993 Fractional Integrals and Derivatives (London: Gordon and Breach)
1993
Earlier work this paper cites.
Metzler R, Glöckle W G and Nonnenmacher T F 1994 Fractional model equation for anomalous diffusion Physica A 211
1994
Earlier work this paper cites.
Amelino-Camelia G, Ellis J R, Mavromatos N E and Nanopoulos D V 1997 Distance measurement and wave dispersion in a Liouville string approach to quantum gravity Int. J. Mod. Phys. A 12
1997
Earlier work this paper cites.
Podlubny I 1999 Fractional Differential Equations (New York: Academic Press)
1999
Earlier work this paper cites.
2001
Earlier work this paper cites.
Rousan A A, Malkawi E, Rabei E M and Widyan H 2002 Applications of fractional calculus to gravity Frac. Calc. Appl. Anal. 5
2002
Earlier work this paper cites.
Giusti A 2020 MOND-like fractional Laplacian theory Phys. Rev. D 101
2002
Earlier work this paper cites.
Barvinsky A O 2003 Nonlocal action for long distance modifications of gravity theory Phys. Lett. B 572
2003
Earlier work this paper cites.
Varieschi G U 2020 Newtonian fractional-dimension gravity and MOND Found. Phys. 50
2003
Earlier work this paper cites.
Amelino-Camelia G, Arzano M and Procaccini A 2004 Severe constraints on loop-quantum-gravity energy-momentum dispersion relation from black-hole area-entropy law Phys. Rev. D 70
2004
Earlier work this paper cites.
Calcagni G and De Felice A 2020 Dark energy in multifractional spacetimes Phys. Rev. D 102
2004
Earlier work this paper cites.
El-Nabulsi R A 2005 Fractional unstable Euclidean universe Electron. J. Theor. Phys. 8
2005
Earlier work this paper cites.
Lauscher O and Reuter M, Fractal spacetime structure in asymptotically safe gravity J. High Energy Phys. JHEP10(2005)050
2005
Earlier work this paper cites.
2005
Earlier work this paper cites.
Barvinsky A O 2005 On covariant long-distance modifications of Einstein theory and strong coupling problem Phys. Rev. D 71
2005
Earlier work this paper cites.
Kilbas A A, Srivastava H M and Trujillo J J 2006 Theory and Applications of Fractional Differential Equations (Amsterdam: Elsevier)
2006
Earlier work this paper cites.
Dvali G 2006 Predictive power of strong coupling in theories with large distance modified gravity New J. Phys. 8
2006
Earlier work this paper cites.
Muslih S I, Baleanu D and Rabei E M 2007 Gravitational potential in fractional space Centr. Eur. J. Phys. 5
2007
Cited alongside, same era.
Varieschi G U 2021 Newtonian fractional-dimension gravity and disk galaxies Eur. Phys. J. Plus 136
2008
Cited alongside, same era.
Zwiebach B 2009 A First Course in String Theory (Cambridge: Cambridge University Press)
2009
Cited alongside, same era.
2009
Cited alongside, same era.
2009
Cited alongside, same era.
Arzano M and Calcagni G 2013 Black-hole entropy and minimal diffusion Phys. Rev. D 88
2013
Later among the works it cites.
2013
Later among the works it cites.
2014
Later among the works it cites.
Roberts M D 2014 Fractional derivative cosmology SOP Trans. Theor. Phys. 1
2014
Later among the works it cites.
Calcagni G and Modesto L 2014 Nonlocality in string theory J. Phys. A: Math. Theor. 47
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Calcagni G 2010 Fractal universe and quantum gravity Phys. Rev. Lett. 104
2010
Cited alongside, same era.
2010
Cited alongside, same era.
Calcagni G 2010 Detailed balance in Hořava–Lifshitz gravity Phys. Rev. D 81
2010
Cited alongside, same era.
Munkhammar J 2010 Riemann–Liouville fractional Einstein field equations ( arXiv:1003.4981 )
2010
Cited alongside, same era.
2011
Cited alongside, same era.
Calcagni G 2011 Gravity on a multifractal Phys. Lett. B 697
2011
Cited alongside, same era.
2011
Cited alongside, same era.
2014
Later among the works it cites.
Arzano M and Trześniewski T 2014 Diffusion on κ \kappa -Minkowski space Phys. Rev. D 89
2014
Later among the works it cites.
Maggiore M and Mancarella M 2014 Nonlocal gravity and dark energy Phys. Rev. D 90
2014
Later among the works it cites.
2014
Later among the works it cites.
2015
Later among the works it cites.
2015
Later among the works it cites.
Modesto L and Rachwał L 2015 Universally finite gravitational and gauge theories Nucl. Phys. B 900
2015
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
Calcagni G 2017 Classical and Quantum Cosmology (Switzerland: Springer)
2017
Later among the works it cites.
Modesto L and Rachwał L 2017 Nonlocal quantum gravity: a review Int. J. Mod. Phys. D 26
2017
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
Calcagni G 2018 Towards multifractional calculus Front. Phys. 6
2018
Later among the works it cites.
2018
Later among the works it cites.
2018
Later among the works it cites.
Mielczarek J and Trześniewski T 2018 Towards the map of quantum gravity Gen. Relativ. Gravit. 50
2018
Later among the works it cites.
2019
Later among the works it cites.
Calcagni G 2021 Multifractional theories: an updated review Mod. Phys. Lett. A 36
2021
Closest in time.
Calcagni G 2021 Quantum scalar field theories with fractional operators Class. Quantum Grav. 38
2021
Closest in time.
Landim R G 2021 Fractional dark energy Phys. Rev. D 103
2021
Closest in time.