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We present a general framework to systematically study the derivative expansion of asymptotically safe quantum gravity.
d = 4 d=4 as the critical dimensionality of asymptotically safe interactions ,
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Ultraviolet divergences in quantum theories of gravitation ,
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Functional integration over geometries ,
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Renormalizability of quantum gravity near two-dimensions ,
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Nonperturbative evolution equation for quantum gravity ,
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Nonperturbative renormalization flow in quantum field theory and statistical physics ,
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Renormalization group flows for gauge theories in axial gauges ,
D. F. Litim and J. M. Pawlowski, · 2002
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Flow equation of quantum Einstein gravity in a higher derivative truncation ,
O. Lauscher and M. Reuter, · 2002
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Renormalization group flow of quantum gravity in the Einstein-Hilbert truncation ,
M. Reuter and F. Saueressig, · 2002
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Ultraviolet fixed point and generalized flow equation of quantum gravity ,
O. Lauscher and M. Reuter, · 2002
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From renormalization group flows to cosmology ,
A. Platania, · 2003
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A. Eichhorn, · 2003
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Heat kernel expansion: User’s manual ,
D. V. Vassilevich, · 2003
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Critical reflections on asymptotically safe gravity ,
A. Bonanno, A. Eichhorn, H. Gies, J. M. Pawlowski, R. Percacci, M. Reuter, F. Saueressig and G. P. Vacca, · 2004
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Towards the determination of the dimension of the critical surface in asymptotically safe gravity ,
K. Falls, N. Ohta and R. Percacci, · 2004
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Fixed points of quantum gravity ,
D. F. Litim, · 2004
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Asymptotically safe gravity with fermions ,
J. Daas, W. Oosters, F. Saueressig and J. Wang, · 2005
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Reconstructing the universe ,
J. Ambjorn, J. Jurkiewicz and R. Loll, · 2005
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The nonperturbative functional renormalization group and its applications ,
N. Dupuis, L. Canet, A. Eichhorn, W. Metzner, J. M. Pawlowski, M. Tissier and N. Wschebor, · 2006
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Fixed points of higher derivative gravity ,
A. Codello and R. Percacci, · 2006
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Quantum gravity: a fluctuating point of view (2020), arXiv:2007.10353
J. M. Pawlowski and M. Reichert, · 2007
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Aspects of the functional renormalisation group ,
J. M. Pawlowski, · 2007
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J. M. Martín-García, R. Portugal and L. R. U. Manssur, · 2007
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Fixed Points of Quantum Gravity and the Renormalisation Group ,
D. F. Litim, · 2007
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Finite Quantum Gravity Amplitudes: No Strings Attached ,
T. Draper, B. Knorr, C. Ripken and F. Saueressig, · 2007
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Graviton-Mediated Scattering Amplitudes from the Quantum Effective Action ,
T. Draper, B. Knorr, C. Ripken and F. Saueressig, · 2007
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Y. Kluth and D. F. Litim, · 2008
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Ultraviolet properties of f(R)-gravity ,
A. Codello, R. Percacci and C. Rahmede, · 2008
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A. Codello, R. Percacci and C. Rahmede, · 2008
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The Invar tensor package: Differential invariants of Riemann ,
J. M. Martín-García, D. Yllanes and R. Portugal, · 2008
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xPerm: fast index canonicalization for tensor computer algebra ,
J. M. Martín-García, · 2008
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Background Independence and Asymptotic Safety in Conformally Reduced Gravity ,
M. Reuter and H. Weyer, · 2009
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Bimetric Truncations for Quantum Einstein Gravity and Asymptotic Safety ,
E. Manrique and M. Reuter, · 2009
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J. Ziebell, · 2009
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xPert: Computer algebra for metric perturbation theory ,
D. Brizuela, J. M. Martin-Garcia and G. A. Mena Marugan, · 2009
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Asymptotic safety in higher-derivative gravity ,
D. Benedetti, P. F. Machado and F. Saueressig, · 2009
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Taming perturbative divergences in asymptotically safe gravity ,
D. Benedetti, P. F. Machado and F. Saueressig, · 2009
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Four-derivative interactions in asymptotically safe gravity ,
D. Benedetti, P. F. Machado and F. Saueressig, · 2009
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Bare Action and Regularized Functional Integral of Asymptotically Safe Quantum Gravity ,
E. Manrique and M. Reuter, · 2009
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Light charged fermions in quantum gravity ,
G. P. de Brito, A. Eichhorn and M. Schiffer, · 2010
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Matter Induced Bimetric Actions for Gravity ,
E. Manrique, M. Reuter and F. Saueressig, · 2010
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Bimetric Renormalization Group Flows in Quantum Einstein Gravity ,
E. Manrique, M. Reuter and F. Saueressig, · 2010
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Ghost anomalous dimension in asymptotically safe quantum gravity ,
A. Eichhorn and H. Gies, · 2010
Cited alongside, same era.
Lessons from conformally reduced quantum gravity ,
B. Knorr, · 2010
Cited alongside, same era.
D. Benedetti, K. Groh, P. F. Machado and F. Saueressig, · 2011
Cited alongside, same era.
Asymptotically Safe Lorentzian Gravity ,
E. Manrique, S. Rechenberger and F. Saueressig, · 2011
Cited alongside, same era.
Evidence for Asymptotic Safety from Lattice Quantum Gravity ,
J. Laiho and D. Coumbe, · 2011
Gauge symmetry from decoupling ,
C. Wetterich, · 2016
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Manifestly diffeomorphism invariant classical Exact Renormalization Group ,
T. R. Morris and A. W. H. Preston, · 2016
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Covariant and background independent functional RG flow for the effective average action ,
M. Safari and G. P. Vacca, · 2016
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Background independence in a background dependent renormalization group ,
P. Labus, T. R. Morris and Z. H. Slade, · 2016
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Quantum gravity on foliated spacetimes: Asymptotically safe and sound ,
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Cited alongside, same era.
K. Groh, F. Saueressig and O. Zanusso, · 2011
Cited alongside, same era.
Higher Derivative Gravity from the Universal Renormalization Group Machine ,
K. Groh, S. Rechenberger, F. Saueressig and O. Zanusso, · 2011
Cited alongside, same era.
Bare versus Effective Fixed Point Action in Asymptotic Safety: The Reconstruction Problem ,
E. Manrique and M. Reuter, · 2011
Cited alongside, same era.
M. Reuter and F. Saueressig, · 2012
Cited alongside, same era.
The phase diagram of quantum gravity from diffeomorphism-invariant RG-flows (2012), arXiv:1203.4207
I. Donkin and J. M. Pawlowski, · 2012
Cited alongside, same era.
The R 2 R^{2} phase-diagram of QEG and its spectral dimension ,
S. Rechenberger and F. Saueressig, · 2012
Cited alongside, same era.
Exploring new corners of asymptotically safe unimodular quantum gravity ,
G. P. de Brito, A. D. Pereira and A. F. Vieira, · 2012
Cited alongside, same era.
J. Biemans, A. Platania and F. Saueressig, · 2017
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Correlation functions on a curved background ,
B. Knorr and S. Lippoldt, · 2017
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Asymptotic solutions in asymptotic safety ,
S. Gonzalez-Martin, T. R. Morris and Z. H. Slade, · 2017
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Quantum gravity and Standard-Model-like fermions ,
A. Eichhorn and S. Lippoldt, · 2017
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Renormalization group fixed points of foliated gravity-matter systems ,
J. Biemans, A. Platania and F. Saueressig, · 2017
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An asymptotically safe solution to the U(1) triviality problem ,
N. Christiansen and A. Eichhorn, · 2017
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Top mass from asymptotic safety ,
A. Eichhorn and A. Held, · 2017
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Cosmic Censorship in Quantum Einstein Gravity ,
A. Bonanno, B. Koch and A. Platania, · 2017
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An Introduction to Covariant Quantum Gravity and Asymptotic Safety , vol. 3 of 100 Years of General Relativity ,
R. Percacci, · 2017
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Asymptotically safe cosmology – A status report ,
A. Bonanno and F. Saueressig, · 2017
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Lattice Quantum Gravity and Asymptotic Safety ,
J. Laiho, S. Bassler, D. Coumbe, D. Du and J. T. Neelakanta, · 2017
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The background scale Ward identity in quantum gravity ,
R. Percacci and G. P. Vacca, · 2017
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Covariant and single-field effective action with the background-field formalism ,
M. Safari and G. P. Vacca, · 2017
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Background Scale Independence in Quantum Gravity ,
N. Ohta, · 2017
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Split Weyl transformations in quantum gravity ,
C. M. Nieto, R. Percacci and V. Skrinjar, · 2017
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Impact of topology in foliated Quantum Einstein Gravity ,
W. B. Houthoff, A. Kurov and F. Saueressig, · 2017
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Explicit Description of the Zassenhaus Formula ,
T. Kimura, · 2017
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On de Sitter solutions in asymptotically safe f ( R ) f(R) theories ,
K. Falls, D. F. Litim, K. Nikolakopoulos and C. Rahmede, · 2018
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Towards apparent convergence in asymptotically safe quantum gravity ,
T. Denz, J. M. Pawlowski and M. Reichert, · 2018
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Infinite order quantum-gravitational correlations ,
B. Knorr, · 2018
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Asymptotic safety of quantum gravity beyond Ricci scalars ,
K. Falls, C. R. King, D. F. Litim, K. Nikolakopoulos and C. Rahmede, · 2018
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Functional Renormalization Group Flows on Friedman–Lemaître–Robertson–Walker backgrounds ,
A. Platania and F. Saueressig, · 2018
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Curvature dependence of quantum gravity ,
N. Christiansen, K. Falls, J. M. Pawlowski and M. Reichert, · 2018
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Asymptotic safety and field parametrization dependence in the f ( R ) f(R) truncation ,
G. P. De Brito, N. Ohta, A. D. Pereira, A. A. Tomaz and M. Yamada, · 2018
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Effective universality in quantum gravity ,
A. Eichhorn, P. Labus, J. M. Pawlowski and M. Reichert, · 2018
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Asymptotically safe f ( R ) f(R) -gravity coupled to matter I: the polynomial case ,
N. Alkofer and F. Saueressig, · 2018
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Asymptotically safe f ( R ) f(R) -gravity coupled to matter II: Global solutions ,
N. Alkofer, · 2018
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Nonminimal hints for asymptotic safety ,
A. Eichhorn, S. Lippoldt and V. Skrinjar, · 2018
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Asymptotic safety of gravity with matter ,
N. Christiansen, D. F. Litim, J. M. Pawlowski and M. Reichert, · 2018
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Quantum gravity fluctuations flatten the Planck-scale Higgs potential ,
A. Eichhorn, Y. Hamada, J. Lumma and M. Yamada, · 2018
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Quantum-gravity predictions for the fine-structure constant ,
A. Eichhorn, A. Held and C. Wetterich, · 2018
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Mass difference for charged quarks from asymptotically safe quantum gravity ,
A. Eichhorn and A. Held, · 2018
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Bouncing and emergent cosmologies from Arnowitt–Deser–Misner RG flows ,
A. Bonanno, G. Gionti, S. J. and A. Platania, · 2018
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Gravitational collapse in Quantum Einstein Gravity ,
A. Bonanno, B. Koch and A. Platania, · 2018
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Cosmological bounds on the field content of asymptotically safe gravity–matter models ,
A. Bonanno, A. Platania and F. Saueressig, · 2018
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Consistent early and late time cosmology from the RG flow of gravity ,
G. Gubitosi, R. Ooijer, C. Ripken and F. Saueressig, · 2018
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Finite Entanglement Entropy in Asymptotically Safe Quantum Gravity ,
C. Pagani and M. Reuter, · 2018
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Towards conditions for black-hole singularity-resolution in asymptotically safe quantum gravity ,
A. Adeifeoba, A. Eichhorn and A. Platania, · 2018
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Curvature bound from gravitational catalysis ,
H. Gies and R. Martini, · 2018
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An asymptotically safe guide to quantum gravity and matter ,
A. Eichhorn, · 2018
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The phase structure of Causal Dynamical Triangulations with toroidal spatial topology ,
J. Ambjørn, J. Gizbert-Studnicki, A. Görlich, J. Jurkiewicz and D. Németh, · 2018
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Gauge invariant flow equation ,
C. Wetterich, · 2018
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Aspects of asymptotic safety for quantum gravity ,
K. G. Falls, D. F. Litim and J. Schröder, · 2019
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How perturbative is quantum gravity? ,
A. Eichhorn, S. Lippoldt, J. M. Pawlowski, M. Reichert and M. Schiffer, · 2019
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Zooming in on fermions and quantum gravity ,
A. Eichhorn, S. Lippoldt and M. Schiffer, · 2019
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Higgs scalar potential in asymptotically safe quantum gravity ,
J. M. Pawlowski, M. Reichert, C. Wetterich and M. Yamada, · 2019
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Quantum Gravity and the Functional Renormalization Group ,
M. Reuter and F. Saueressig, · 2019
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Lorentz symmetry is relevant ,
B. Knorr, · 2019
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A. Baldazzi, R. Percacci and V. Skrinjar, · 2019
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Renormalization of lorentzian conformally reduced gravity ,
S. Nagy, K. Sailer and I. Steib, · 2019
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Lecture notes: Functional Renormalisation Group and Asymptotically Safe Quantum Gravity ,
M. Reichert, · 2020
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xParallel ,
A. Casalino, · 2020
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Curvature bound from gravitational catalysis in thermal backgrounds ,
H. Gies and A. S. Salek, · 2021
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CDT Quantum Toroidal Spacetimes: An Overview ,
J. Ambjorn, Z. Drogosz, J. Gizbert-Studnicki, A. Görlich, J. Jurkiewicz and D. Nèmeth, · 2021
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The de Sitter Instanton from Euclidean Dynamical Triangulations ,
S. Bassler, J. Laiho, M. Schiffer and J. Unmuth-Yockey, · 2021
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Reconstructing the graviton (2021), arXiv:2102.02217
A. Bonanno, T. Denz, J. M. Pawlowski and M. Reichert, · 2021
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