Fetching the paper…

Reading the bibliography…

2023

Foliated asymptotically safe gravity in the fluctuation approach

Saueressig, Frank, Wang, Jian

Original
PDF
Post on X

Understand

The gravitational asymptotic safety program envisions a high-energy completion of gravity based on a non-Gaussian renormalization group fixed point.

A key step in this program is the transition from Euclidean to Lorentzian signature spacetimes.
One way to address this challenge is to formulate the quantum theory based on the Arnowitt-Deser-Misner decomposition of the metric field.
This equips the Euclidean spacetime with a preferred direction which may serve as the time-direction in the Lorentzian setting.

Foliated asymptotically safe gravity in the fluctuation approach · Around

Built on

L. Bosma, B. Knorr and F. Saueressig, Resolving Spacetime Singularities within Asymptotic Safety , Phys. Rev. Lett. 123
Original
1904
Earlier work this paper cites.
R. Loll, Quantum Gravity from Causal Dynamical Triangulations: A Review , Class. Quant. Grav. 37
Original
1905
Earlier work this paper cites.
C. Pagani and M. Reuter, Background Independent Quantum Field Theory and Gravitating Vacuum Fluctuations , Annals Phys. 411
Original
1906
Earlier work this paper cites.
B. Knorr, C. Ripken and F. Saueressig, Form Factors in Asymptotic Safety: conceptual ideas and computational toolbox , Class. Quant. Grav. 36
Original
1907
Earlier work this paper cites.
J. F. Donoghue and G. Menezes, Arrow of Causality and Quantum Gravity , Phys. Rev. Lett. 123
Original
1908
Earlier work this paper cites.
A. Eichhorn, A. Platania and M. Schiffer, Lorentz invariance violations in the interplay of quantum gravity with matter , Phys. Rev. D 102
Original
1911
Earlier work this paper cites.
B. Bürger, J. M. Pawlowski, M. Reichert and B.-J. Schaefer, Curvature dependence of quantum gravity with scalars , 1912.01624
Original
1912
Earlier work this paper cites.
J. W. York, Jr., Conformally invariant orthogonal decomposition of symmetric tensors on Riemannian manifolds and the initial value problem of general relativity , J. Math. Phys. 14
1973
Earlier work this paper cites.
S. Weinberg, Ultraviolet divergences in quantum theories of gravitation , General Relativity: An Einstein centenary survey, Eds. Hawking, S.W., Israel, W; Cambridge University Press (1979) 790
1979
Earlier work this paper cites.
J. M. Bardeen, Gauge Invariant Cosmological Perturbations , Phys. Rev. D 22
1980
Earlier work this paper cites.
C. J. Isham, Canonical quantum gravity and the problem of time , NATO Sci. Ser. C 409
1993
Earlier work this paper cites.
C. Wetterich, Exact evolution equation for the effective potential , Phys. Lett. B 301
Original
1993
Earlier work this paper cites.
T. R. Morris, The Exact renormalization group and approximate solutions , Int. J. Mod. Phys. A 9
1994
Earlier work this paper cites.
M. Reuter and C. Wetterich, Effective average action for gauge theories and exact evolution equations , Nucl. Phys. B 417
1994
Earlier work this paper cites.
M. E. Peskin and D. V. Schroeder, An Introduction to quantum field theory . Addison-Wesley, Reading, USA, 1995
1995
Earlier work this paper cites.
R. L. Arnowitt, S. Deser and C. W. Misner, The Dynamics of general relativity , Gen. Rel. Grav. 40
1997
Earlier work this paper cites.
M. Reuter, Nonperturbative evolution equation for quantum gravity , Phys. Rev. D 57
1998
Earlier work this paper cites.
J. Ambjorn and R. Loll, Nonperturbative Lorentzian quantum gravity, causality and topology change , Nucl. Phys. B 536
1998
Earlier work this paper cites.
J. Ambjorn, J. Jurkiewicz and R. Loll, A Nonperturbative Lorentzian path integral for gravity , Phys. Rev. Lett. 85
2000
Earlier work this paper cites.
D. F. Litim, Optimization of the exact renormalization group , Phys. Lett. B 486
2000
Earlier work this paper cites.
D. F. Litim, Optimized renormalization group flows , Phys. Rev. D 64
2001
Earlier work this paper cites.
O. Lauscher and M. Reuter, Ultraviolet fixed point and generalized flow equation of quantum gravity , Phys. Rev. D 65
2002
Earlier work this paper cites.
M. Reuter and F. Saueressig, Renormalization group flow of quantum gravity in the Einstein-Hilbert truncation , Phys. Rev. D 65
2002
Earlier work this paper cites.
J. Ambjorn, J. Gizbert-Studnicki, A. Görlich, J. Jurkiewicz and R. Loll, Renormalization in quantum theories of geometry , Front. in Phys. 8
Original
2002
Earlier work this paper cites.
A. Bonanno, A. Eichhorn, H. Gies, J. M. Pawlowski, R. Percacci, M. Reuter et al., Critical reflections on asymptotically safe gravity , Front. in Phys. 8
Original
2004
Earlier work this paper cites.
J. Ambjorn, J. Jurkiewicz and R. Loll, Reconstructing the universe , Phys. Rev. D 72
2005
Earlier work this paper cites.
M. Niedermaier and M. Reuter, The Asymptotic Safety Scenario in Quantum Gravity , Living Rev. Rel. 9
2006
Earlier work this paper cites.
N. Dupuis, L. Canet, A. Eichhorn, W. Metzner, J. M. Pawlowski, M. Tissier et al., The nonperturbative functional renormalization group and its applications , Phys. Rept. 910
Original
2006
Earlier work this paper cites.
J. M. Pawlowski and M. Reichert, Quantum Gravity: A Fluctuating Point of View , Front. in Phys. 8
Original
2007
Earlier work this paper cites.
J. M. Pawlowski, Aspects of the functional renormalisation group , Annals Phys. 322
2007
Earlier work this paper cites.
J. M. Pawlowski and M. Reichert, Quantum Gravity: A Fluctuating Point of View , Front. in Phys. 8
Original
2007
Earlier work this paper cites.
T. Draper, B. Knorr, C. Ripken and F. Saueressig, Finite Quantum Gravity Amplitudes: No Strings Attached , Phys. Rev. Lett. 125
Original
2007
Earlier work this paper cites.
T. Draper, B. Knorr, C. Ripken and F. Saueressig, Graviton-Mediated Scattering Amplitudes from the Quantum Effective Action , JHEP 11
Original
2007
Earlier work this paper cites.

Similar

A. Codello, R. Percacci and C. Rahmede, Ultraviolet properties of f(R)-gravity , Int. J. Mod. Phys. A 23
Original
2008
Cited alongside, same era.
P. F. Machado and F. Saueressig, On the renormalization group flow of f(R)-gravity , Phys. Rev. D 77
Original
2008
Cited alongside, same era.
M. Becker and M. Reuter, Background Independent Field Quantization with Sequences of Gravity-Coupled Approximants , Phys. Rev. D 102
Original
2008
Cited alongside, same era.
A. Codello, R. Percacci and C. Rahmede, Investigating the Ultraviolet Properties of Gravity with a Wilsonian Renormalization Group Equation , Annals Phys. 324
Original
2009
Cited alongside, same era.
D. Benedetti, P. F. Machado and F. Saueressig, Asymptotic safety in higher-derivative gravity , Mod. Phys. Lett. A 24

Then

N. Christiansen, B. Knorr, J. M. Pawlowski and A. Rodigast, Global Flows in Quantum Gravity , Phys. Rev. D 93
Original
2016
Later among the works it cites.
J. Meibohm, J. M. Pawlowski and M. Reichert, Asymptotic safety of gravity-matter systems , Phys. Rev. D 93
Original
2016
Later among the works it cites.
R. Percacci, An Introduction to Covariant Quantum Gravity and Asymptotic Safety , vol. 3 of 100 Years of General Relativity . World Scientific, 2017, 10.1142/10369
2017
Later among the works it cites.
J. Biemans, A. Platania and F. Saueressig, Quantum gravity on foliated spacetimes: Asymptotically safe and sound , Phys. Rev. D 95
Original
2017
Later among the works it cites.
J. Biemans, A. Platania and F. Saueressig, Renormalization group fixed points of foliated gravity-matter systems , JHEP 05

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

2009

Cited alongside, same era.

P. Horava, Quantum Gravity at a Lifshitz Point , Phys. Rev. D 79

2009

Cited alongside, same era.

J. Ambjorn, A. Gorlich, S. Jordan, J. Jurkiewicz and R. Loll, CDT meets Horava-Lifshitz gravity , Phys. Lett. B 690

2010

Cited alongside, same era.

E. Manrique and M. Reuter, Bimetric Truncations for Quantum Einstein Gravity and Asymptotic Safety , Annals Phys. 325

2010

Cited alongside, same era.

E. Manrique, S. Rechenberger and F. Saueressig, Asymptotically Safe Lorentzian Gravity , Phys. Rev. Lett. 106

2011

Cited alongside, same era.

E. Manrique, S. Rechenberger and F. Saueressig, Asymptotically Safe Lorentzian Gravity , Phys. Rev. Lett. 106

2011

Cited alongside, same era.

E. Manrique, M. Reuter and F. Saueressig, Bimetric Renormalization Group Flows in Quantum Einstein Gravity , Annals Phys. 326

2011

Cited alongside, same era.

D. Benedetti, K. Groh, P. F. Machado and F. Saueressig, The Universal RG Machine , JHEP 06

2011

Cited alongside, same era.

2017

Later among the works it cites.

W. B. Houthoff, A. Kurov and F. Saueressig, Impact of topology in foliated Quantum Einstein Gravity , Eur. Phys. J. C 77

2017

Later among the works it cites.

A. Eichhorn and A. Held, Viability of quantum-gravity induced ultraviolet completions for matter , Phys. Rev. D 96

2017

Later among the works it cites.

B. Knorr and S. Lippoldt, Correlation functions on a curved background , Phys. Rev. D 96

2017

Later among the works it cites.

D. Becker, C. Ripken and F. Saueressig, On avoiding Ostrogradski instabilities within Asymptotic Safety , JHEP 12

2017

Later among the works it cites.

K. Falls, C. R. King, D. F. Litim, K. Nikolakopoulos and C. Rahmede, Asymptotic safety of quantum gravity beyond Ricci scalars , Phys. Rev. D 97

2018

Later among the works it cites.

A. Eichhorn, P. Labus, J. M. Pawlowski and M. Reichert, Effective universality in quantum gravity , SciPost Phys. 5

2018

Later among the works it cites.

T. Denz, J. M. Pawlowski and M. Reichert, Towards apparent convergence in asymptotically safe quantum gravity , Eur. Phys. J. C 78

2018

Later among the works it cites.

N. Christiansen, K. Falls, J. M. Pawlowski and M. Reichert, Curvature dependence of quantum gravity , Phys. Rev. D 97

2018

Later among the works it cites.

N. Christiansen, D. F. Litim, J. M. Pawlowski and M. Reichert, Asymptotic safety of gravity with matter , Phys. Rev. D 97

2018

Later among the works it cites.

B. Knorr, Infinite order quantum-gravitational correlations , Class. Quant. Grav. 35

2018

Later among the works it cites.

A. Platania and F. Saueressig, Functional Renormalization Group Flows on Friedman–Lemaître–Robertson–Walker backgrounds , Found. Phys. 48

2018

Later among the works it cites.

A. Baldazzi, R. Percacci and V. Skrinjar, Wicked metrics , Class. Quant. Grav. 36

Original

2019

Later among the works it cites.

M. Reuter and F. Saueressig, Quantum Gravity and the Functional Renormalization Group: The Road towards Asymptotic Safety . Cambridge University Press, 1, 2019

2019

Later among the works it cites.

A. Eichhorn, An asymptotically safe guide to quantum gravity and matter , Front. Astron. Space Sci. 5

2019

Later among the works it cites.

B. Knorr, Lorentz symmetry is relevant , Phys. Lett. B 792

2019

Later among the works it cites.

A. Eichhorn, S. Lippoldt, J. M. Pawlowski, M. Reichert and M. Schiffer, How perturbative is quantum gravity? , Phys. Lett. B 792

2019

Later among the works it cites.

A. Eichhorn, S. Lippoldt and M. Schiffer, Zooming in on fermions and quantum gravity , Phys. Rev. D 99

2019

Later among the works it cites.

M. Reichert, Lecture notes: Functional Renormalisation Group and Asymptotically Safe Quantum Gravity , PoS 384

2020

Later among the works it cites.

C. Laporte, A. D. Pereira, F. Saueressig and J. Wang, Scalar-tensor theories within Asymptotic Safety , JHEP 12

2021

Later among the works it cites.

B. Knorr, The derivative expansion in asymptotically safe quantum gravity: general setup and quartic order , SciPost Phys. Core 4

2021

Later among the works it cites.

B. Knorr and M. Schiffer, Non-Perturbative Propagators in Quantum Gravity , Universe 7

2021

Later among the works it cites.

B. Knorr, A. Platania and M. Schiffer, Configuration space for quantum gravity in a locally regularized path integral , Phys. Rev. D 106

2022

Later among the works it cites.

R. Banerjee and M. Niedermaier, The spatial Functional Renormalization Group and Hadamard states on cosmological spacetimes , Nucl. Phys. B 980

2022

Later among the works it cites.

A. Bonanno, T. Denz, J. M. Pawlowski and M. Reichert, Reconstructing the graviton , SciPost Phys. 12

2022

Later among the works it cites.

B. Knorr, C. Ripken and F. Saueressig, Form Factors in Quantum Gravity: Contrasting non-local, ghost-free gravity and Asymptotic Safety , Nuovo Cim. C 45

2022

Later among the works it cites.

J. Fehre, D. F. Litim, J. M. Pawlowski and M. Reichert, Lorentzian Quantum Gravity and the Graviton Spectral Function , Phys. Rev. Lett. 130

2023

Closest in time.

V.-M. Mandric and T. R. Morris, Properties of a proposed background independent exact renormalization group , Phys. Rev. D 107

2023

Closest in time.