Lattice quantum gravity and asymptotic safety

Laiho, J.; Bassler, S.; Coumbe, D.; Du, D.; Neelakanta, J. T.

doi:10.1103/PhysRevD.96.064015

Title: Lattice quantum gravity and asymptotic safety

Journal Article · Tue Sep 12 00:00:00 EDT 2017 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.96.064015· OSTI ID:1389679

Laiho, J.; Bassler, S.; Coumbe, D.; Du, D.; Neelakanta, J. T.

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Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0009998

OSTI ID:: 1389679

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 96 Journal Issue: 6; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 38 works

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References (72)

Simulations of Four-Dimensional Simplicial Quantum Gravity as Dynamical Triangulation Agishtein, M. E.; Migdal, A. A. Modern Physics Letters A, Vol. 07, Issue 12 https://doi.org/10.1142/S0217732392000938	journal	April 1992
Fractal spacetime structure in asymptotically safe gravity Lauscher, Oliver; Reuter, Martin Journal of High Energy Physics, Vol. 2005, Issue 10 https://doi.org/10.1088/1126-6708/2005/10/050	journal	October 2005
Renormalization group flow of quantum gravity in the Einstein-Hilbert truncation Reuter, M.; Saueressig, F. Physical Review D, Vol. 65, Issue 6 https://doi.org/10.1103/PhysRevD.65.065016	journal	February 2002
Path integral measure for gravitational interactions Fujikawa, Kazuo Nuclear Physics B, Vol. 226, Issue 2 https://doi.org/10.1016/0550-3213(83)90202-X	journal	October 1983
Path integration and the functional measure Unz, R. K. Il Nuovo Cimento A, Vol. 92, Issue 4 https://doi.org/10.1007/BF02730500	journal	April 1986
Four-dimensional simplicial quantum gravity Ambjørn, Jan; Jurkiewicz, Jerzy Physics Letters B, Vol. 278, Issue 1-2 https://doi.org/10.1016/0370-2693(92)90709-D	journal	March 1992
Asymptotic safety, emergence and minimal length Percacci, Roberto; Vacca, Gian Paolo Classical and Quantum Gravity, Vol. 27, Issue 24 https://doi.org/10.1088/0264-9381/27/24/245026	journal	November 2010
Further evidence that the transition of 4D dynamical triangulation is 1st order de Bakker, Bas V. Physics Letters B, Vol. 389, Issue 2 https://doi.org/10.1016/S0370-2693(96)01277-4	journal	December 1996
Phase transition in dually weighted colored tensor models Benedetti, Dario; Gurau, Razvan Nuclear Physics B, Vol. 855, Issue 2 https://doi.org/10.1016/j.nuclphysb.2011.10.015	journal	February 2012
Review of Particle Physics Olive, K. A. Chinese Physics C, Vol. 38, Issue 9 https://doi.org/10.1088/1674-1137/38/9/090001	journal	August 2014
Abelian gauge fields coupled to simplicial quantum gravity Ambjørn, Jan; Anagnostopoulos, Konstantinos N.; Jurkiewicz, Jerzy Journal of High Energy Physics, Vol. 1999, Issue 08 https://doi.org/10.1088/1126-6708/1999/08/016	journal	August 1999
String Theory as a Universal Language Polyakov, A. M. International Journal of Modern Physics A, Vol. 16, Issue 28 https://doi.org/10.1142/S0217751X01005729	journal	November 2001
Evidence for Asymptotic Safety from Lattice Quantum Gravity Laiho, J.; Coumbe, D. Physical Review Letters, Vol. 107, Issue 16 https://doi.org/10.1103/PhysRevLett.107.161301	journal	October 2011
Functional integration and the diffeomorphism group in Euclidean lattice quantum gravity Romer, H.; Zahringer, M. Classical and Quantum Gravity, Vol. 3, Issue 5 https://doi.org/10.1088/0264-9381/3/5/019	journal	September 1986
Thermodynamics of Photons on Fractals Akkermans, Eric; Dunne, Gerald V.; Teplyaev, Alexander Physical Review Letters, Vol. 105, Issue 23 https://doi.org/10.1103/PhysRevLett.105.230407	journal	December 2010
General relativity without coordinates Regge, T. Il Nuovo Cimento, Vol. 19, Issue 3 https://doi.org/10.1007/BF02733251	journal	February 1961
ULTRAVIOLET PROPERTIES OF f(R)-GRAVITY Codello, Alessandro; Percacci, Roberto; Rahmede, Christoph International Journal of Modern Physics A, Vol. 23, Issue 01 https://doi.org/10.1142/S0217751X08038135	journal	January 2008
Nonperturbative Lorentzian Path Integral for Gravity Ambjørn, J.; Jurkiewicz, J.; Loll, R. Physical Review Letters, Vol. 85, Issue 5 https://doi.org/10.1103/PhysRevLett.85.924	journal	July 2000
Ultraviolet stable fixed point and scaling relations in (2 + ϵ)-dimensional quantum gravity Kawai, Hikaru; Kitazawa, Yoshihisa; Ninomiya, Masao Nuclear Physics B, Vol. 404, Issue 3 https://doi.org/10.1016/0550-3213(93)90594-F	journal	September 1993
Exploring Euclidean dynamical triangulations with a non-trivial measure term Coumbe, D. N.; Laiho, J. Journal of High Energy Physics, Vol. 2015, Issue 4 https://doi.org/10.1007/JHEP04(2015)028	journal	April 2015
Investigating the ultraviolet properties of gravity with a Wilsonian renormalization group equation Codello, Alessandro; Percacci, Roberto; Rahmede, Christoph Annals of Physics, Vol. 324, Issue 2 https://doi.org/10.1016/j.aop.2008.08.008	journal	February 2009
Focusing on the fixed point of 4D simplicial gravity Bialas, P.; Burda, Z.; Krzywicki, A. Nuclear Physics B, Vol. 472, Issue 1-2 https://doi.org/10.1016/0550-3213(96)00214-3	journal	July 1996
The weak-coupling limit of simplicial quantum gravity Thorleifsson, G.; Bialas, P.; Petersson, B. Nuclear Physics B, Vol. 550, Issue 1-2 https://doi.org/10.1016/S0550-3213(99)00140-6	journal	June 1999
Quantum relaxation of the cosmological constant Jackiw, R.; Núñez, Carlos; Pi, S. -Y. Physics Letters A, Vol. 347, Issue 1-3 https://doi.org/10.1016/j.physleta.2005.04.020	journal	November 2005
Spontaneous flavor and parity breaking with Wilson fermions Sharpe, Stephen; Singleton, Robert Physical Review D, Vol. 58, Issue 7 https://doi.org/10.1103/PhysRevD.58.074501	journal	August 1998
Simulating four-dimensional simplicial gravity using degenerate triangulations Bilke, Sven; Thorleifsson, Gudmar Physical Review D, Vol. 59, Issue 12 https://doi.org/10.1103/PhysRevD.59.124008	journal	May 1999
Causal Dynamical Triangulations without preferred foliation Jordan, S.; Loll, R. Physics Letters B, Vol. 724, Issue 1-3 https://doi.org/10.1016/j.physletb.2013.06.007	journal	July 2013
Evidence for asymptotic safety from dimensional reduction in causal dynamical triangulations Coumbe, D. N.; Jurkiewicz, J. Journal of High Energy Physics, Vol. 2015, Issue 3 https://doi.org/10.1007/JHEP03(2015)151	journal	March 2015
Emergence of a 4D World from Causal Quantum Gravity Ambjørn, J.; Jurkiewicz, J.; Loll, R. Physical Review Letters, Vol. 93, Issue 13 https://doi.org/10.1103/PhysRevLett.93.131301	journal	September 2004
Scaling Behavior in 4D Simplicial Quantum Gravity Egawa, H. S.; Hotta, T.; Izubuchi, T. Progress of Theoretical Physics, Vol. 97, Issue 3 https://doi.org/10.1143/PTP.97.539	journal	March 1997
Curvature and scaling in 4D dynamical triangulation de Bakker, Bas V.; Smit, Jan Nuclear Physics B, Vol. 439, Issue 1-2 https://doi.org/10.1016/0550-3213(95)00026-O	journal	April 1995
New phase structure for lattice QCD with Wilson fermions Aoki, Sinya Physical Review D, Vol. 30, Issue 12 https://doi.org/10.1103/PhysRevD.30.2653	journal	December 1984
The ultraviolet behavior of Einstein gravity Goroff, Marc H.; Sagnotti, Augusto Nuclear Physics B, Vol. 266, Issue 3-4 https://doi.org/10.1016/0550-3213(86)90193-8	journal	March 1986
Nonperturbative quantum de Sitter universe Ambjørn, J.; Görlich, A.; Jurkiewicz, J. Physical Review D, Vol. 78, Issue 6 https://doi.org/10.1103/PhysRevD.78.063544	journal	September 2008
On the ultraviolet behaviour of Newton's constant Percacci, Roberto; Perini, Daniele Classical and Quantum Gravity, Vol. 21, Issue 22 https://doi.org/10.1088/0264-9381/21/22/002	journal	October 2004
Inconsistencies from a Running Cosmological Constant Hamber, Herbert W.; Toriumi, Reiko International Journal of Modern Physics D, Vol. 22, Issue 13 https://doi.org/10.1142/S0218271813300231	journal	October 2013
$S$ Matrix for Gravitational Field. II. Local Measure; General Relations; Elements of Renormalization Theory Fradkin, E. S.; Vilkovisky, G. A. Physical Review D, Vol. 8, Issue 12 https://doi.org/10.1103/PhysRevD.8.4241	journal	December 1973
Spectral dimension of quantum geometries Calcagni, Gianluca; Oriti, Daniele; Thürigen, Johannes Classical and Quantum Gravity, Vol. 31, Issue 13 https://doi.org/10.1088/0264-9381/31/13/135014	journal	June 2014
Scaling in four-dimensional quantum gravity Ambjørn, J.; Jurkiewicz, J. Nuclear Physics B, Vol. 451, Issue 3 https://doi.org/10.1016/0550-3213(95)00303-A	journal	October 1995
Review of lattice results concerning low-energy particle physics Aoki, S.; Aoki, Y.; Bernard, C. The European Physical Journal C, Vol. 74, Issue 9 https://doi.org/10.1140/epjc/s10052-014-2890-7	journal	September 2014
The cosmological constant problem Weinberg, Steven Reviews of Modern Physics, Vol. 61, Issue 1 https://doi.org/10.1103/RevModPhys.61.1	journal	January 1989
Phase structure of four dimensional simplicial quantum gravity Catterall, S.; Kogut, J.; Renken, R. Physics Letters B, Vol. 328, Issue 3-4 https://doi.org/10.1016/0370-2693(94)91480-X	journal	June 1994
Further evidence for asymptotic safety of quantum gravity Falls, K.; Litim, D.; Nikolakopoulos, K. Physical Review D, Vol. 93, Issue 10 https://doi.org/10.1103/PhysRevD.93.104022	journal	May 2016
Ultraviolet fixed point and generalized flow equation of quantum gravity Lauscher, O.; Reuter, M. Physical Review D, Vol. 65, Issue 2 https://doi.org/10.1103/PhysRevD.65.025013	journal	December 2001
Erratum to: Continuum interpretation of the dynamical-triangulation formulation of quantum Einstein gravity Smit, Jan Journal of High Energy Physics, Vol. 2015, Issue 9 https://doi.org/10.1007/JHEP09(2015)048	journal	September 2015
Exploring the new phase transition of CDT Coumbe, D. N.; Gizbert-Studnicki, J.; Jurkiewicz, J. Journal of High Energy Physics, Vol. 2016, Issue 2 https://doi.org/10.1007/JHEP02(2016)144	journal	February 2016
Phase structure of dynamical triangulation models in three dimensions Renken, Ray L.; Catterall, Simon M.; Kogut, John B. Nuclear Physics B, Vol. 523, Issue 3 https://doi.org/10.1016/S0550-3213(98)00142-4	journal	July 1998
Fixed Points of Quantum Gravity Litim, Daniel F. Physical Review Letters, Vol. 92, Issue 20 https://doi.org/10.1103/PhysRevLett.92.201301	journal	May 2004
String theory as a universal language Polyakov, A. M. Physics of Atomic Nuclei, Vol. 64, Issue 3 https://doi.org/10.1134/1.1358479	journal	March 2001
Second-Order Phase Transition in Causal Dynamical Triangulations Ambjørn, Jan; Jordan, S.; Jurkiewicz, J. Physical Review Letters, Vol. 107, Issue 21 https://doi.org/10.1103/PhysRevLett.107.211303	journal	November 2011
Renormalization group and quantum gravity Kawai, Hikaru; Ninomiya, Masao Nuclear Physics B, Vol. 336, Issue 1 https://doi.org/10.1016/0550-3213(90)90345-E	journal	May 1990
Is quantum Einstein gravity nonperturbatively renormalizable? Lauscher, O.; Reuter, M. Classical and Quantum Gravity, Vol. 19, Issue 3 https://doi.org/10.1088/0264-9381/19/3/304	journal	January 2002
Euclidean Dynamical Triangulation revisited: is the phase transition really 1st order? Rindlisbacher, Tobias; de Forcrand, Philippe Journal of High Energy Physics, Vol. 2015, Issue 5 https://doi.org/10.1007/JHEP05(2015)138	journal	May 2015
4d Simplicial quantum gravity: matter fields and the corresponding effective action Bilke, S.; Burda, Z.; Krzywicki, A. Physics Letters B, Vol. 432, Issue 3-4 https://doi.org/10.1016/S0370-2693(98)00675-3	journal	July 1998
Non-perturbative Lorentzian quantum gravity, causality and topology change Ambjørn, J.; Loll, R. Nuclear Physics B, Vol. 536, Issue 1-2 https://doi.org/10.1016/S0550-3213(98)00692-0	journal	December 1998
4D simplicial quantum gravity with a nontrivial measure Brügmann, Bernd; Marinari, Enzo Physical Review Letters, Vol. 70, Issue 13 https://doi.org/10.1103/PhysRevLett.70.1908	journal	March 1993
Reconstructing the Universe Ambjørn, J.; Jurkiewicz, J.; Loll, R. Physical Review D, Vol. 72, Issue 6 https://doi.org/10.1103/PhysRevD.72.064014	journal	September 2005
Asymptotic Safety in Higher-Derivative Gravity Benedetti, Dario; Machado, Pedro F.; Saueressig, Frank Modern Physics Letters A, Vol. 24, Issue 28 https://doi.org/10.1142/S0217732309031521	journal	September 2009
Perfect lattice action for asymptotically free theories Hasenfratz, P.; Niedermayer, F. Nuclear Physics B, Vol. 414, Issue 3 https://doi.org/10.1016/0550-3213(94)90261-5	journal	February 1994
Elementary moves and ergodicity in D-dimensional simplicial quantum gravity Gross, Mark; Varsted, Steen Nuclear Physics B, Vol. 378, Issue 1-2 https://doi.org/10.1016/0550-3213(92)90012-Z	journal	July 1992
Fractal space-times under the microscope: a renormalization group view on Monte Carlo data Reuter, Martin; Saueressig, Frank Journal of High Energy Physics, Vol. 2011, Issue 12 https://doi.org/10.1007/JHEP12(2011)012	journal	December 2011
The Spectral Dimension of the Universe is Scale Dependent Ambjørn, J.; Jurkiewicz, J.; Loll, R. Physical Review Letters, Vol. 95, Issue 17 https://doi.org/10.1103/PhysRevLett.95.171301	journal	October 2005
$R^{2}$ phase diagram of quantum Einstein gravity and its spectral dimension Rechenberger, Stefan; Saueressig, Frank Physical Review D, Vol. 86, Issue 2 https://doi.org/10.1103/PhysRevD.86.024018	journal	July 2012
Planckian Birth of a Quantum de Sitter Universe Ambjørn, J.; Görlich, A.; Jurkiewicz, J. Physical Review Letters, Vol. 100, Issue 9 https://doi.org/10.1103/PhysRevLett.100.091304	journal	March 2008
Quantum gravity near two dimensions Gastmans, R.; Kallosh, R.; Truffin, C. Nuclear Physics B, Vol. 133, Issue 3 https://doi.org/10.1016/0550-3213(78)90234-1	journal	February 1978
Dynamically triangulating Lorentzian quantum gravity Ambjørn, J.; Jurkiewicz, J.; Loll, R. Nuclear Physics B, Vol. 610, Issue 1-2 https://doi.org/10.1016/S0550-3213(01)00297-8	journal	September 2001
New higher-order transition in causal dynamical triangulations Ambjorn, J.; Coumbe, D.; Gizbert-Studnicki, J. Physical Review D, Vol. 95, Issue 12 https://doi.org/10.1103/PhysRevD.95.124029	journal	June 2017
Black hole thermodynamics under the microscope Falls, Kevin; Litim, Daniel F. Physical Review D, Vol. 89, Issue 8 https://doi.org/10.1103/PhysRevD.89.084002	journal	April 2014
Euclidian 4d quantum gravity with a non-trivial measure term Ambjørn, J.; Glaser, L.; Görlich, A. Journal of High Energy Physics, Vol. 2013, Issue 10 https://doi.org/10.1007/JHEP10(2013)100	journal	October 2013
Continuum interpretation of the dynamical-triangulation formulation of quantum Einstein gravity Smit, Jan Journal of High Energy Physics, Vol. 2013, Issue 8 https://doi.org/10.1007/JHEP08(2013)016	journal	August 2013
Order of the chiral and continuum limits in staggered chiral perturbation theory Bernard, C. Physical Review D, Vol. 71, Issue 9 https://doi.org/10.1103/PhysRevD.71.094020	journal	May 2005
Lower bound on the spectral dimension near a black hole Carlip, S.; Grumiller, D. Physical Review D, Vol. 84, Issue 8 https://doi.org/10.1103/PhysRevD.84.084029	journal	October 2011

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