Fetching the paper…
Reading the bibliography…
Adding terms quadratic in the curvature to the Einstein-Hilbert action renders gravity renormalizable.
P. A. M. Dirac, “The physical interpretation of quantum mechanics,” Proc. R. Soc. Lond. A 180, 1 (1942)
1942
Earlier work this paper cites.
W. Pauli, “On Dirac’s New Method of Field Quantization”, Rev. Mod. Phys. 15 (1943) 175
1943
Earlier work this paper cites.
A. Pais and G. E. Uhlenbeck, “On Field theories with nonlocalized action”, Phys. Rev. 79 (1950) 145
1950
Earlier work this paper cites.
R. Utiyama and B. S. DeWitt, “Renormalization of a classical gravitational field interacting with quantized matter fields,” J. Math. Phys
1962
Earlier work this paper cites.
T. D. Lee and G. C. Wick, “Negative Metric and the Unitarity of the S Matrix,” Nucl. Phys. B
1969
Earlier work this paper cites.
T. D. Lee and G. C. Wick, “Finite Theory of Quantum Electrodynamics,” Phys. Rev. D
1970
Earlier work this paper cites.
S. Coleman, “Acausality,” in Erice 1969, Ettore Majorana School On Subnuclear Phenomena. (New York, 1970), pp. 282?327
1970
Earlier work this paper cites.
S. Deser, “The State of Quantum Gravity,” Conf. Proc. C
1975
Earlier work this paper cites.
K. S. Stelle, “Renormalization of Higher Derivative Quantum Gravity,” Phys. Rev. D
1977
Earlier work this paper cites.
K. S. Stelle, “Classical Gravity with Higher Derivatives,” Gen. Rel. Grav
1978
Earlier work this paper cites.
J. Julve and M. Tonin, “Quantum Gravity with Higher Derivative Terms,” Nuovo Cim. B
1978
Earlier work this paper cites.
E. S. Fradkin and G. A. Vilkovisky, “Conformal Invariance and Asymptotic Freedom in Quantum Gravity,” Phys. Lett
1978
Earlier work this paper cites.
A. A. Starobinsky, “A New Type of Isotropic Cosmological Models Without Singularity,” Phys. Lett
1980
Earlier work this paper cites.
S. Weinberg, in Understanding the Fundamental Constituents of Matter, ed. A. Zichichi (Plenum Press, New York, 1977). S. Weinberg, in General Relativity: An Einstein Centenary Survey, edited by S. W. Hawking and W. Israel (Cambridge University Press, 1980) pp. 790-831
1980
Earlier work this paper cites.
E. Tomboulis, “Renormalizability and Asymptotic Freedom in Quantum Gravity,” Phys. Lett
1980
Earlier work this paper cites.
E. S. Fradkin and A. A. Tseytlin, “Renormalizable Asymptotically Free Quantum Theory of Gravity,” Phys. Lett
1981
Earlier work this paper cites.
B. Hasslacher and E. Mottola, “Asymptotically Free Quantum Gravity and Black Holes,” Phys. Lett
1981
Earlier work this paper cites.
E. S. Fradkin and A. A. Tseytlin, “Renormalizable asymptotically free quantum theory of gravity,” Nucl. Phys. B
1982
Earlier work this paper cites.
S. J. Hathrell, “Trace Anomalies and
1982
Earlier work this paper cites.
S. J. Hathrell, “Trace Anomalies and QED in Curved Space,” Annals Phys
1982
Earlier work this paper cites.
A. Zee, “Einstein Gravity Emerging From Quantum Weyl Gravity,” Annals Phys
1983
Earlier work this paper cites.
D. G. Boulware and D. J. Gross, “Lee-wick Indefinite Metric Quantization: A Functional Integral Approach,” Nucl. Phys. B
1984
Earlier work this paper cites.
M. H. Goroff and A. Sagnotti, “Quantum Gravity At Two Loops,” Phys. Lett
1985
Earlier work this paper cites.
I. G. Avramidi and A. O. Barvinsky, “Asymptotic Freedom In Higher Derivative Quantum Gravity,” Phys. Lett
1985
Earlier work this paper cites.
M. H. Goroff and A. Sagnotti, “The Ultraviolet Behavior of Einstein Gravity,” Nucl. Phys. B
1986
Earlier work this paper cites.
I. Antoniadis and E. T. Tomboulis, “Gauge Invariance and Unitarity in Higher Derivative Quantum Gravity,” Phys. Rev. D
1986
Earlier work this paper cites.
E. Pagani, G. Tecchiolli and S. Zerbini, “On the Problem of Stability for Higher Order Derivatives: Lagrangian Systems,” Lett. Math. Phys
1987
Earlier work this paper cites.
I. L. Buchbinder and S. L. Lyakhovich, “Canonical Quantization and Local Measure of
1987
Earlier work this paper cites.
I. L. Buchbinder and S. L. Lyakhovich, “Canonical Quantization Of Theories With Higher Derivatives: Quantization Of
1987
Earlier work this paper cites.
R.P. Feynman,
1987
Earlier work this paper cites.
D. A. Johnston, “Sedentary Ghost Poles in Higher Derivative Gravity,” Nucl. Phys. B
1988
Earlier work this paper cites.
I. L. Buchbinder, O. K. Kalashnikov, I. L. Shapiro, V. B. Vologodsky and J. J. Wolfengaut, “The Stability of Asymptotic Freedom in Grand Unified Models Coupled to
1989
Earlier work this paper cites.
I. Jack and H. Osborn, “Analogs for the
1990
Earlier work this paper cites.
A. L. Berkin, “Contribution of the Weyl tensor to
1991
Earlier work this paper cites.
I. L. Buchbinder, S. D. Odintsov and I. L. Shapiro, “Effective action in quantum gravity,” Bristol, UK: IOP (1992) 413 p
1992
Earlier work this paper cites.
G. ’t Hooft, “Dimensional reduction in quantum gravity,” Conf. Proc. C
1993
Earlier work this paper cites.
I. L. Shapiro and A. G. Zheksenaev, “Gauge dependence in higher derivative quantum gravity and the conformal anomaly problem”, Phys. Lett. B 324 (1994) 286
1994
Earlier work this paper cites.
I. L. Shapiro and G. Cognola, “Interaction of low-energy induced gravity with quantized matter and phase transition induced to curvature,” Phys. Rev. D
1995
Earlier work this paper cites.
L. Susskind, “The World as a hologram,” J. Math. Phys
1995
Earlier work this paper cites.
A. Hindawi, B. A. Ovrut and D. Waldram, “Consistent spin two coupling and quadratic gravitation,” Phys. Rev. D
1996
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Int. J. Theor. Phys
1998
Earlier work this paper cites.
S. W. Hawking and T. Hertog, “Living with ghosts,” Phys. Rev. D
2002
Earlier work this paper cites.
B. Holdom, “On the fate of singularities and horizons in higher derivative gravity,” Phys. Rev. D
2002
Earlier work this paper cites.
K. j. Hamada, “Resummation and higher order renormalization in 4-D quantum gravity,” Prog. Theor. Phys
2002
Cited alongside, same era.
M. Fukuma and S. Matsuura, “Holographic renormalization group structure in higher derivative gravity,” Prog. Theor. Phys
2002
Cited alongside, same era.
G. de Berredo-Peixoto, I.L. Shapiro, “Conformal quantum gravity with the Gauss-Bonnet term”, Phys. Rev. D70 (2003) 044024 [
2003
Cited alongside, same era.
C. M. Bender, D. C. Brody and H. F. Jones, “Complex extension of quantum mechanics,” Phys. Rev. Lett
2004
Cited alongside, same era.
G. de Berredo-Peixoto and I. L. Shapiro, “Higher derivative quantum gravity with Gauss-Bonnet term,” Phys. Rev. D
2005
Cited alongside, same era.
2015
Later among the works it cites.
2015
Later among the works it cites.
2015
Later among the works it cites.
E. T. Tomboulis, “Renormalization and unitarity in higher derivative and nonlocal gravity theories,” Mod. Phys. Lett. A
2015
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2005
Cited alongside, same era.
P. D. Mannheim and A. Davidson, “Dirac quantization of the Pais-Uhlenbeck fourth order oscillator,” Phys. Rev. A
2005
Cited alongside, same era.
T. Biswas, A. Mazumdar and W. Siegel, “Bouncing universes in string-inspired gravity,” JCAP
2006
Cited alongside, same era.
A. Codello and R. Percacci, “Fixed points of higher derivative gravity,” Phys. Rev. Lett
2006
Cited alongside, same era.
A. V. Smilga, “Ghost-free higher-derivative theory,” Phys. Lett. B
2006
Cited alongside, same era.
K. j. Hamada, S. Horata and T. Yukawa, “Space-time Evolution and CMB Anisotropies from Quantum Gravity,” Phys. Rev. D
2006
Cited alongside, same era.
P. D. Mannheim, “Solution to the ghost problem in fourth order derivative theories,” Found. Phys
2007
Cited alongside, same era.
2015
Later among the works it cites.
2015
Later among the works it cites.
G. M. Pelaggi, A. Strumia and S. Vignali, “Totally asymptotically free trinification,” JHEP
2015
Later among the works it cites.
2015
Later among the works it cites.
2016
Later among the works it cites.
B. Holdom and J. Ren, “QCD analogy for quantum gravity,” Phys. Rev. D
2016
Later among the works it cites.
B. Holdom and J. Ren, “Quadratic gravity: from weak to strong,” Int. J. Mod. Phys. D
2016
Later among the works it cites.
M. Pavs̆ic̆, “Pais-Uhlenbeck oscillator and negative energies,” Int. J. Geom. Meth. Mod. Phys
2016
Later among the works it cites.
M. M. Ivanov and A. A. Tokareva, “Cosmology with a light ghost,” JCAP
2016
Later among the works it cites.
A. Tokareva, “Inflation with light Weyl ghost,” EPJ Web Conf
2016
Later among the works it cites.
A. Salvio and A. Strumia, “Quantum mechanics of 4-derivative theories,” Eur. Phys. J. C
2016
Later among the works it cites.
A. Salvio, “Solving the Standard Model Problems in Softened Gravity,” Phys. Rev. D
2016
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.
M. B. Einhorn and D. R. T. Jones, “Induced Gravity I: Real Scalar Field,” JHEP
2016
Later among the works it cites.
M. B. Einhorn and D. R. T. Jones, “Induced Gravity II: Grand Unification,” JHEP
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
A. Salvio, “Inflationary Perturbations in No-Scale Theories,” Eur. Phys. J. C
2017
Later among the works it cites.
A. Smilga, “Classical and quantum dynamics of higher-derivative systems,” Int. J. Mod. Phys. A
2017
Later among the works it cites.
D. Anselmi and M. Piva, “A new formulation of Lee-Wick quantum field theory,” JHEP
2017
Later among the works it cites.
D. Anselmi and M. Piva, “Perturbative unitarity of Lee-Wick quantum field theory,” Phys. Rev. D
2017
Later among the works it cites.
D. Anselmi, “On the quantum field theory of the gravitational interactions,” JHEP
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.
K. S. Stelle, “Abdus Salam and quadratic curvature gravity: Classical solutions,” Int. J. Mod. Phys. A
2017
Later among the works it cites.
B. Holdom and J. Ren, “Not quite a black hole,” Phys. Rev. D
2017
Later among the works it cites.
2017
Later among the works it cites.
G. Narain, “Exorcising Ghosts in Induced Gravity,” Eur. Phys. J. C
2017
Later among the works it cites.
J. F. Donoghue, “Conformal model of gravitons,” Phys. Rev. D
2017
Later among the works it cites.
E. Alvarez, J. Anero and S. Gonzalez-Martin, “Quadratic gravity in first order formalism,” JCAP
2017
Later among the works it cites.
2017
Later among the works it cites.
A. Salvio and A. Strumia, “Agravity up to infinite energy,” Eur. Phys. J. C
2018
Closest in time.
Y. Abe, T. Inami, K. Izumi and T. Kitamura, “Matter scattering in
2018
Closest in time.
P. D. Mannheim, “Appropriate Inner Product for PT-Symmetric Hamiltonians,” Phys. Rev. D
2018
Closest in time.