Built on

Marc H. Goroff and Augusto Sagnotti, “QUANTUM GRAVITY AT TWO LOOPS,” Phys. Lett. B160
1985
Earlier work this paper cites.
Marc H. Goroff and Augusto Sagnotti, “The Ultraviolet Behavior of Einstein Gravity,” Nucl. Phys. B266
1986
Earlier work this paper cites.
Jan Ambjorn and R. Loll, “Nonperturbative Lorentzian quantum gravity, causality and topology change,” Nucl. Phys. B536
1998
Earlier work this paper cites.
Philippe Boucaud, A. Le Yaouanc, J. P. Leroy, J. Micheli, O. Pene, and J. Rodriguez-Quintero, “Testing Landau gauge OPE on the lattice with a < A 2 > <A^{2}> condensate,” Phys. Rev. D63
2001
Earlier work this paper cites.
Thomas Thiemann, “Lectures on loop quantum gravity,” Proceedings, 271st WE-Heraeus Seminar on Aspects of Quantum Gravity: From Theory to Experiment Search: Bad Honnef, Germany, February 25-March 1, 2002 , Lect. Notes Phys. 631
2002
Earlier work this paper cites.
Rafael D. Sorkin, “Causal sets: Discrete gravity,” in Lectures on quantum gravity. Proceedings, School of Quantum Gravity, Valdivia, Chile, January 4-14, 2002 (2003) pp. 305–327, arXiv:gr-qc/0309009 [gr-qc]
2003
Earlier work this paper cites.
Carlo Rovelli, Quantum gravity (2004)
2004
Earlier work this paper cites.
J. Ambjorn, J. Jurkiewicz, and R. Loll, “Emergence of a 4-D world from causal quantum gravity,” Phys. Rev. Lett. 93
2004
Earlier work this paper cites.
J. Ambjorn, J. Jurkiewicz, and R. Loll, “Spectral dimension of the universe,” Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
O. Lauscher and M. Reuter, “Fractal spacetime structure in asymptotically safe gravity,” JHEP 10
2005
Earlier work this paper cites.
M. A. L. Capri, D. Dudal, J. A. Gracey, V. E. R. Lemes, R. F. Sobreiro, S. P. Sorella, and H. Verschelde, “A Study of the gauge invariant, nonlocal mass operator Tr integer d**4 x F mu nu (D**2)**-1 F mu nu in Yang-Mills theories,” Phys. Rev. D72
2005
Earlier work this paper cites.
M. Peláez, M. Tissier, and N. Wschebor, “Two-point correlation functions of QCD in the Landau gauge,” Phys. Rev. D90
Original
2005
Earlier work this paper cites.
K. Becker, M. Becker, and J. H. Schwarz, String theory and M-theory: A modern introduction (Cambridge University Press, 2006)
2006
Earlier work this paper cites.
Max Niedermaier and Martin Reuter, “The Asymptotic Safety Scenario in Quantum Gravity,” Living Rev.Rel. 9
2006
Earlier work this paper cites.
Tirthabir Biswas, Anupam Mazumdar, and Warren Siegel, “Bouncing universes in string-inspired gravity,” JCAP 0603
2006
Earlier work this paper cites.
Eric Gourgoulhon, “3+1 formalism and bases of numerical relativity,” (2007), arXiv:gr-qc/0703035 [GR-QC]
2007
Earlier work this paper cites.

Similar

Stanley Deser and R. P. Woodard, “Nonlocal Cosmology,” Phys. Rev. Lett. 99
Original
2007
Cited alongside, same era.
J. Ambjorn, A. Gorlich, J. Jurkiewicz, and R. Loll, “The Nonperturbative Quantum de Sitter Universe,” Phys. Rev. D78
Original
2008
Cited alongside, same era.
David Dudal, John A. Gracey, Silvio Paolo Sorella, Nele Vandersickel, and Henri Verschelde, “A Refinement of the Gribov-Zwanziger approach in the Landau gauge: Infrared propagators in harmony with the lattice results,” Phys. Rev. D78
Original
2008
Cited alongside, same era.
Dario Benedetti and Joe Henson, “Spectral geometry as a probe of quantum spacetime,” Phys. Rev. D80
Original
2009
Cited alongside, same era.
Aristide Baratin and Daniele Oriti, “Group field theory with non-commutative metric variables,” Phys. Rev. Lett. 105

Then

Kevin Falls, “Critical scaling in quantum gravity from the renormalisation group,” (2015), arXiv:1503.06233 [hep-th]
Original
2015
Later among the works it cites.
J. Ambjørn, Z. Drogosz, Jakub Gizbert-Studnicki, A. Görlich, Jerzy Jurkiewicz, and D. Nemeth, “Impact of topology in causal dynamical triangulations quantum gravity,” Phys. Rev. D94
Original
2016
Later among the works it cites.
Holger Gies, Benjamin Knorr, Stefan Lippoldt, and Frank Saueressig, “Gravitational Two-Loop Counterterm Is Asymptotically Safe,” Phys. Rev. Lett. 116
Original
2016
Later among the works it cites.
James Edholm, Alexey S. Koshelev, and Anupam Mazumdar, “Behavior of the Newtonian potential for ghost-free gravity and singularity-free gravity,” Phys. Rev. D94
Original
2016
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

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Reading the bibliography…

2018

Towards reconstructing the quantum effective action of gravity

Knorr, Benjamin, Saueressig, Frank

Understand

Starting from a parameterisation of the quantum effective action for gravity we calculate correlation functions for observable quantities.

The resulting templates allow to reverse-engineer the couplings describing the effective dynamics from the correlation functions.
Applying this new formalism to the autocorrelation function of spatial volume fluctuations measured within the Causal Dynamical Triangulations program suggests that the corresponding quantum effective action consists of the Einstein-Hilbert action supplemented by a non-local interaction term.
We expect that our matching-template formalism can be adapted to a wide range of quantum gravity programs allowing to bridge the gap between the fundamental formulation and observable low-energy physics.

Built on

Marc H. Goroff and Augusto Sagnotti, “QUANTUM GRAVITY AT TWO LOOPS,” Phys. Lett. B160
1985
Earlier work this paper cites.
Marc H. Goroff and Augusto Sagnotti, “The Ultraviolet Behavior of Einstein Gravity,” Nucl. Phys. B266
1986
Earlier work this paper cites.
Jan Ambjorn and R. Loll, “Nonperturbative Lorentzian quantum gravity, causality and topology change,” Nucl. Phys. B536
1998
Earlier work this paper cites.
Philippe Boucaud, A. Le Yaouanc, J. P. Leroy, J. Micheli, O. Pene, and J. Rodriguez-Quintero, “Testing Landau gauge OPE on the lattice with a < A 2 > <A^{2}> condensate,” Phys. Rev. D63
2001
Earlier work this paper cites.
Thomas Thiemann, “Lectures on loop quantum gravity,” Proceedings, 271st WE-Heraeus Seminar on Aspects of Quantum Gravity: From Theory to Experiment Search: Bad Honnef, Germany, February 25-March 1, 2002 , Lect. Notes Phys. 631
2002
Earlier work this paper cites.
Rafael D. Sorkin, “Causal sets: Discrete gravity,” in Lectures on quantum gravity. Proceedings, School of Quantum Gravity, Valdivia, Chile, January 4-14, 2002 (2003) pp. 305–327, arXiv:gr-qc/0309009 [gr-qc]
2003
Earlier work this paper cites.
Carlo Rovelli, Quantum gravity (2004)
2004
Earlier work this paper cites.
J. Ambjorn, J. Jurkiewicz, and R. Loll, “Emergence of a 4-D world from causal quantum gravity,” Phys. Rev. Lett. 93
2004
Earlier work this paper cites.
J. Ambjorn, J. Jurkiewicz, and R. Loll, “Spectral dimension of the universe,” Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
O. Lauscher and M. Reuter, “Fractal spacetime structure in asymptotically safe gravity,” JHEP 10
2005
Earlier work this paper cites.
M. A. L. Capri, D. Dudal, J. A. Gracey, V. E. R. Lemes, R. F. Sobreiro, S. P. Sorella, and H. Verschelde, “A Study of the gauge invariant, nonlocal mass operator Tr integer d**4 x F mu nu (D**2)**-1 F mu nu in Yang-Mills theories,” Phys. Rev. D72
2005
Earlier work this paper cites.
M. Peláez, M. Tissier, and N. Wschebor, “Two-point correlation functions of QCD in the Landau gauge,” Phys. Rev. D90
Original
2005
Earlier work this paper cites.
K. Becker, M. Becker, and J. H. Schwarz, String theory and M-theory: A modern introduction (Cambridge University Press, 2006)
2006
Earlier work this paper cites.
Max Niedermaier and Martin Reuter, “The Asymptotic Safety Scenario in Quantum Gravity,” Living Rev.Rel. 9
2006
Earlier work this paper cites.
Tirthabir Biswas, Anupam Mazumdar, and Warren Siegel, “Bouncing universes in string-inspired gravity,” JCAP 0603
2006
Earlier work this paper cites.
Eric Gourgoulhon, “3+1 formalism and bases of numerical relativity,” (2007), arXiv:gr-qc/0703035 [GR-QC]
2007
Earlier work this paper cites.

Similar

Stanley Deser and R. P. Woodard, “Nonlocal Cosmology,” Phys. Rev. Lett. 99
Original
2007
Cited alongside, same era.
J. Ambjorn, A. Gorlich, J. Jurkiewicz, and R. Loll, “The Nonperturbative Quantum de Sitter Universe,” Phys. Rev. D78
Original
2008
Cited alongside, same era.
David Dudal, John A. Gracey, Silvio Paolo Sorella, Nele Vandersickel, and Henri Verschelde, “A Refinement of the Gribov-Zwanziger approach in the Landau gauge: Infrared propagators in harmony with the lattice results,” Phys. Rev. D78
Original
2008
Cited alongside, same era.
Dario Benedetti and Joe Henson, “Spectral geometry as a probe of quantum spacetime,” Phys. Rev. D80
Original
2009
Cited alongside, same era.
Aristide Baratin and Daniele Oriti, “Group field theory with non-commutative metric variables,” Phys. Rev. Lett. 105

Then

Kevin Falls, “Critical scaling in quantum gravity from the renormalisation group,” (2015), arXiv:1503.06233 [hep-th]
Original
2015
Later among the works it cites.
J. Ambjørn, Z. Drogosz, Jakub Gizbert-Studnicki, A. Görlich, Jerzy Jurkiewicz, and D. Nemeth, “Impact of topology in causal dynamical triangulations quantum gravity,” Phys. Rev. D94
Original
2016
Later among the works it cites.
Holger Gies, Benjamin Knorr, Stefan Lippoldt, and Frank Saueressig, “Gravitational Two-Loop Counterterm Is Asymptotically Safe,” Phys. Rev. Lett. 116
Original
2016
Later among the works it cites.
James Edholm, Alexey S. Koshelev, and Anupam Mazumdar, “Behavior of the Newtonian potential for ghost-free gravity and singularity-free gravity,” Phys. Rev. D94
Original
2016
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Original

2010

Cited alongside, same era.

Sumati Surya, “Directions in Causal Set Quantum Gravity,” (2011), arXiv:1103.6272 [gr-qc]

Original

2011

Cited alongside, same era.

Daniele Oriti, “The microscopic dynamics of quantum space as a group field theory,” in Proceedings, Foundations of Space and Time: Reflections on Quantum Gravity: Cape Town, South Africa (2011) pp. 257–320, arXiv:1110.5606 [hep-th]

Original

2011

Cited alongside, same era.

Martin Reuter and Frank Saueressig, “Quantum Einstein Gravity,” New J.Phys. 14

Original

2012

Cited alongside, same era.

J. Ambjorn, A. Goerlich, J. Jurkiewicz, and R. Loll, “Nonperturbative Quantum Gravity,” Phys. Rept. 519

Original

2012

Cited alongside, same era.

Leonardo Modesto, “Super-renormalizable Quantum Gravity,” Phys. Rev. D86

Original

2012

Cited alongside, same era.

Tirthabir Biswas, Erik Gerwick, Tomi Koivisto, and Anupam Mazumdar, “Towards singularity and ghost free theories of gravity,” Phys. Rev. Lett. 108

Original

2012

Cited alongside, same era.

A. O. Barvinsky, “Nonlocal gravity, Schwinger-Keldysh technique, dark energy and all that,” in Proceedings, 17th International Seminar on High Energy Physics (Quarks 2012): Yaroslavl, Russia, June 4-7, 2012 , INR (INR, Moscow, Russia, 2012)

2012

Cited alongside, same era.

Giulia Cusin, Stefano Foffa, Michele Maggiore, and Michele Mancarella, “Nonlocal gravity with a Weyl-square term,” Phys. Rev. D93

Original

2016