Towards phase transitions between discrete and continuum quantum spacetime from the renormalization group
Open accessAbstract
We establish the functional renormalization group as an exploratory tool to investigate a possible phase transition between a pregeometric discrete phase and a geometric continuum phase in quantum gravity. In this paper, based on the analysis of Eichhorn and Koslowski [Phys. Rev. D 88, 0840156 (2013)], we study three new aspects of the double-scaling limit of matrix models as renormalization group fixed points. First, we investigate multicritical fixed points, which are associated with quantum gravity coupled to conformal matter. Second, we discuss an approximation that reduces the scheme dependence of our results as well as computational effort while giving good numerical results. This is a consequence of the approximation being a solution to the unitary Ward identity associated to the U(N) symmetry of the Hermitian matrix model. Third, we discuss a scenario that relates the double-scaling limit to fixed points of continuum quantum gravity.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
A satisfactory description for such systems which systematically extends Bogoliubov theory and cures its infrared problems has been given in terms of FRG techniques.
“A satisfactory description for such systems which systematically extends Bogoliubov theory and cures its infrared problems has been given in terms of FRG techniques [33].”
From Impact of nonlinear effective interactions on group field theory quantum gravity condensates (2016) · cites this paper as [33]
FRG techniques can systematically implement nonperturbative extensions to Bogoliubov's approximation.
“Likewise, FRG techniques can systematically implement nonperturbative extensions to Bogoliubov's approximation.”
From Impact of nonlinear effective interactions on group field theory quantum gravity condensates (2016) · cites this paper as [33]
For Bose condensates with approximately pointlike interactions like in superfluid 4He, it is only possible to realize a strongly interacting regime for a very dense condensate.
“These suggest that for Bose condensates with approximately pointlike interactions like in superfluid 4 He, it is only possible to realize a strongly interacting regime for a very dense condensate [33].”
From Impact of nonlinear effective interactions on group field theory quantum gravity condensates (2016) · cites this paper as [33]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
Exact evolution equation for the effective potential
Wetterich, C. (1993) · Physics Letters B · doi:10.1016/0370-2693(93)90726-x · Cited by 2,272 · see citing works
Non-perturbative renormalization flow in quantum field theory and statistical physics
Berges, J., Tetradis, N., & Wetterich, C. (2002) · Physics Reports · doi:10.1016/s0370-1573(01)00098-9 · Cited by 1,548 · see citing works
2D gravity and random matrices
Francesco, P. D., Ginsparg, P., & Zinn-Justin, J. (1995) · Physics Reports · doi:10.1016/0370-1573(94)00084-g · Cited by 1,332 · see citing works
The background field method beyond one loop
Abbott, L. F. (1981) · Nuclear Physics B · doi:10.1016/0550-3213(81)90371-0 · Cited by 1,215 · see citing works
Exactly solvable field theories of closed strings
Brézin, E., & Kazakov, V. A. (1990) · Physics Letters B · doi:10.1016/0370-2693(90)90818-q · Cited by 1,211 · see citing works
Nonperturbative evolution equation for quantum gravity
Reuter, M. (1998) · Physical Review D · doi:10.1103/physrevd.57.971 · Cited by 1,160 · see citing works
Strings in less than one dimension
Douglas, M. R., & Shenker, S. H. (1990) · Nuclear Physics B · doi:10.1016/0550-3213(90)90522-f · Cited by 1,103 · see citing works
Nonperturbative two-dimensional quantum gravity
Gross, D. J., & Migdal, A. A. (1990) · Physical Review Letters · doi:10.1103/physrevlett.64.127 · Cited by 1,013 · see citing works
Aspects of the functional renormalisation group
Pawlowski, J. M. (2007) · Annals of Physics · doi:10.1016/j.aop.2007.01.007 · Cited by 885 · see citing works
Optimized renormalization group flows
Litim, D. F. (2001) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.64.105007 · Cited by 786 · see citing works
Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
Hořava, P. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.161301 · Cited by 783 · see citing works
The Asymptotic Safety Scenario in Quantum Gravity
Niedermaier, M. R., & Reuter, M. (2006) · Living Reviews in Relativity · doi:10.12942/lrr-2006-5 · Cited by 733 · see citing works
Planar diagrams, two-dimensional lattice gravity and surface models
David, F. (1985) · Nuclear Physics B · doi:10.1016/0550-3213(85)90335-9 · Cited by 669 · see citing works
Diseases of triangulated random surface models, and possible cures
Ambjørn, J., Durhuus, B., & Fröhlich, J. (1985) · Nuclear Physics B · doi:10.1016/0550-3213(85)90356-6 · Cited by 645 · see citing works
Critical properties of randomly triangulated planar random surfaces
Kazakov, V., Kostov, I. K., & Migdal, A. (1985) · Physics Letters B · doi:10.1016/0370-2693(85)90669-0 · Cited by 627 · see citing works
Optimisation of the exact renormalisation group
Litim, D. F. (2000) · Physics Letters B · doi:10.1016/s0370-2693(00)00748-6 · Cited by 535 · see citing works
The Spectral Dimension of the Universe is Scale Dependent
Ambjørn, J., Jurkiewicz, J., & Loll, R. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.171301 · Cited by 523 · see citing works
A nonperturbative treatment of two-dimensional quantum gravity
Gross, D. J., & Migdal, A. (1990) · Nuclear Physics B · doi:10.1016/0550-3213(90)90450-r · Cited by 430 · see citing works
Ultraviolet divergences in quantum theories of gravitation.
Weinberg, S. (1979) · Cited by 395 · see citing works
Nonperturbative quantum gravity
Jan Ambjørn, A., Görlich, A., Jurkiewicz, J., & Loll, R. (2012) · Physics Reports · doi:10.1016/j.physrep.2012.03.007 · Cited by 387 · see citing works
Fundamentals of the exact renormalization group
Rosten, O. J. (2012) · Physics Reports · doi:10.1016/j.physrep.2011.12.003 · Cited by 385 · see citing works
Reuter, M., & Frank Saueressig, B. (2012) · New Journal of Physics · doi:10.1088/1367-2630/14/5/055022 · Cited by 379 · see citing works
Group Field Theory: An Overview
Freidel, L. (2005) · International Journal of Theoretical Physics · doi:10.1007/s10773-005-8894-1 · Cited by 378 · see citing works
Analytical and numerical study of a model of dynamically triangulated random surfaces
Boulatov, D. V., Kazakov, V. A., Kostov, I. K., & Migdal, A. A. (1986) · Nuclear Physics B · doi:10.1016/0550-3213(86)90578-x · Cited by 375 · see citing works
Nonperturbative Quantum GravityPreprint
(2016) · Cited by 368 · see citing works
A model of random surfaces with non-trivial critical behaviour
David, F. (1985) · Nuclear Physics B · doi:10.1016/0550-3213(85)90363-3 · Cited by 365 · see citing works
A MODEL OF THREE-DIMENSIONAL LATTICE GRAVITY
BOULATOV, D. V. (1992) · Modern Physics Letters A · doi:10.1142/s0217732392001324 · Cited by 326 · see citing works
Renormalization Group and Effective Field Theory Approaches to Many-Body Systems
(2012) · Lecture Notes in Physics · doi:10.1007/978-3-642-27320-9 · Cited by 325 · see citing works
The Complete 1/N Expansion of Colored Tensor Models in Arbitrary Dimension
Gurău, R. (2011) · Annales Henri Poincaré · doi:10.1007/s00023-011-0118-z · Cited by 321 · see citing works
The 1/N Expansion of Colored Tensor Models
Gurau, R. (2011) · Annales Henri Poincaré · doi:10.1007/s00023-011-0101-8 · Cited by 298 · see citing works
Matrix model calculations beyond the spherical limit
Jan Ambjørn, A., Chekhov, L., Kristjansen, C., & Makeenko, Y. (1993) · Nuclear Physics B · doi:10.1016/0550-3213(93)90476-6 · Cited by 298 · see citing works
THE APPEARANCE OF MATTER FIELDS FROM QUANTUM FLUCTUATIONS OF 2D-GRAVITY
KAZAKOV, V. A. (1989) · Modern Physics Letters A · doi:10.1142/s0217732389002392 · Cited by 289 · see citing works
Fractal spacetime structure in asymptotically safe gravity
Lauscher, O., & Reuter, M. (2005) · Journal of High Energy Physics · doi:10.1088/1126-6708/2005/10/050 · Cited by 286 · see citing works
Renormalization group and quantum gravity
Kawai, H., & Ninomiya, M. (1990) · Nuclear Physics B · doi:10.1016/0550-3213(90)90345-e · Cited by 277 · see citing works
Lectures on the functional renormalization group method
Polonyi, J. (2003) · Open Physics · doi:10.2478/bf02475552 · Cited by 277 · see citing works
The asymptotic safety scenario in quantum gravity: an introduction
Niedermaier, M. R. (2007) · Classical and Quantum Gravity · doi:10.1088/0264-9381/24/18/r01 · Cited by 263 · see citing works
Matter matters in asymptotically safe quantum gravity
Donà, P., Eichhorn, A., & Roberto Percacci, A. (2014) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.89.084035 · Cited by 259 · see citing works
Self-citationThe 1/N expansion of colored tensor models in arbitrary dimension
Gurău, R., & Rivasseau, V. (2011) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/95/50004 · Cited by 249 · see citing works
Random tensor models in the large N limit: Uncoloring the colored tensor models
Bonzom, V., Gurău, R., & Rivasseau, V. (2012) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.85.084037 · Cited by 242 · see citing works
A Renormalizable 4-Dimensional Tensor Field Theory
Geloun, J. B., & Rivasseau, V. (2012) · Communications in Mathematical Physics · doi:10.1007/s00220-012-1549-1 · Cited by 206 · see citing works
Four-dimensional simplicial quantum gravity
Ambjørn, J., & Jurkiewicz, J. (1992) · Physics Letters B · doi:10.1016/0370-2693(92)90709-d · Cited by 205 · see citing works
Quantum gravity near two dimensions
Gastmans, R., Каллош, Р., & Truffin, C. (1978) · Nuclear Physics B · doi:10.1016/0550-3213(78)90234-1 · Cited by 190 · see citing works
Renormalization group and the Planck scale
Litim, D. F. (2011) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.2011.0103 · Cited by 185 · see citing works
Quantum gravity in 2 + ε dimensions
Christensen, S. M., & Duff, M. J. (1978) · Physics Letters B · doi:10.1016/0370-2693(78)90225-3 · Cited by 173 · see citing works
Disappearance and emergence of space and time in quantum gravity
Oriti, D. (2014) · Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics · doi:10.1016/j.shpsb.2013.10.006 · Cited by 166 · see citing works
Scaling exponents in quantum gravity near two dimensions
Kawai, H., Kitazawa, Y., & Ninomiya, M. (1993) · Nuclear Physics B · doi:10.1016/0550-3213(93)90246-l · Cited by 159 · see citing works
Renormalization group approach to matrix models
Brézin, E., & Zinn‐Justin, J. (1992) · Physics Letters B · doi:10.1016/0370-2693(92)91953-7 · Cited by 147 · see citing works
The Yang-Lee edge singularity on a dynamical planar random surface
Staudacher, M. (1990) · Nuclear Physics B · doi:10.1016/0550-3213(90)90432-d · Cited by 139 · see citing works
Spectral geometry as a probe of quantum spacetime
Benedetti, D., & Henson, J. (2009) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.80.124036 · Cited by 134 · see citing works
Double scaling in tensor models with a quartic interaction
Dartois, S., Gurău, R., & Rivasseau, V. (2013) · Journal of High Energy Physics · doi:10.1007/jhep09(2013)088 · Cited by 133 · see citing works
Fractal space-times under the microscope: a renormalization group view on Monte Carlo data
Reuter, M., & Frank Saueressig, B. (2011) · Journal of High Energy Physics · doi:10.1007/jhep12(2011)012 · Cited by 122 · see citing works
Second-Order Phase Transition in Causal Dynamical Triangulations
Jan Ambjørn, A., Jordan, S., Jurkiewicz, J., & Loll, R. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.211303 · Cited by 121 · see citing works
Lectures on renormalization and asymptotic safety
Nagy, S. (2014) · Annals of Physics · doi:10.1016/j.aop.2014.07.027 · Cited by 118 · see citing works
The double scaling limit of random tensor models
Bonzom, V., Gurău, R., Ryan, J. P., & Tanasă, A. (2014) · Journal of High Energy Physics · doi:10.1007/jhep09(2014)051 · Cited by 113 · see citing works
3D Tensor Field Theory: Renormalization and One-Loop β-Functions
Geloun, J. B., & Samary, D. O. (2012) · Annales Henri Poincaré · doi:10.1007/s00023-012-0225-5 · Cited by 113 · see citing works
Quantum Gravity in 2+ε Dimensions
Kawai, H., Kitazawa, Y., & Masao Ninomiya, C. (1993) · Progress of Theoretical Physics Supplement · doi:10.1143/ptps.114.149 · Cited by 108 · see citing works
Reuter, M., & Weyer, H. (2009) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.80.025001 · Cited by 98 · see citing works
The 1/N Expansion of Tensor Models Beyond Perturbation Theory
Gurău, R. (2014) · Communications in Mathematical Physics · doi:10.1007/s00220-014-1907-2 · Cited by 95 · see citing works
R2 phase diagram of quantum Einstein gravity and its spectral dimension
Rechenberger, S., & Frank Saueressig, B. (2012) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.86.024018 · Cited by 94 · see citing works
Probing the quantum nature of spacetime by diffusion
Calcagni, G., Eichhorn, A., & Frank Saueressig, B. (2013) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.87.124028 · Cited by 93 · see citing works
Self-citationSome classes of renormalizable tensor models
Geloun, J. B., & Livine, E. R. (2013) · Journal of Mathematical Physics · doi:10.1063/1.4818797 · Cited by 86 · see citing works
Second- and first-order phase transitions in causal dynamical triangulations
Jan Ambjørn, A., Jordan, S., Jurkiewicz, J., & Loll, R. (2012) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.85.124044 · Cited by 86 · see citing works
Euclidean quantum gravity on a lattice
Weingarten, D. (1982) · Nuclear Physics B · doi:10.1016/0550-3213(82)90241-3 · Cited by 83 · see citing works
Quantizing Hořava-Lifshitz gravity via causal dynamical triangulations
Anderson, C., Carlip, S. J., Cooperman, J. H., Hořava, P., Kommu, R. K., & Zulkowski, P. R. (2012) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.85.044027 · Cited by 81 · see citing works
Two- and four-loop β-functions of rank-4 renormalizable tensor field theories
Geloun, J. B. (2012) · Classical and Quantum Gravity · doi:10.1088/0264-9381/29/23/235011 · Cited by 80 · see citing works
Continuum limit in matrix models for quantum gravity from the functional renormalization group
Eichhorn, A., & Koslowski, T. A. (2013) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.88.084016 · Cited by 78 · see citing works
Self-citationNew 1/N expansions in random tensor models
Bonzom, V. (2013) · Journal of High Energy Physics · doi:10.1007/jhep06(2013)062 · Cited by 77 · see citing works
Spectral Dimension as a Probe of the Ultraviolet Continuum Regime of Causal Dynamical Triangulations
Sotiriou, T. P., Visser, M., & Weinfurtner, S. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.131303 · Cited by 75 · see citing works
Renormalizability of quantum gravity near two dimensions
Kawai, H., Kitazawa, Y., & Ninorniya, M. (1996) · Nuclear Physics B · doi:10.1016/0550-3213(96)00119-8 · Cited by 74 · see citing works
Quantum Gravity and Quantum Cosmology
Calcagni, G., Papantonopoulos, L., Siopsis, G., & Tsamis, N. C. (2012) · Lecture notes in physics · doi:10.1007/978-3-642-33036-0 · Cited by 70 · see citing works
Renormalization group flow in CDT
Jan Ambjørn, A., Görlich, A., Jurkiewicz, J., Kreienbuehl, A., & Loll, R. (2014) · Classical and Quantum Gravity · doi:10.1088/0264-9381/31/16/165003 · Cited by 70 · see citing works
Two-loop prediction for scaling exponents in (2 + ϵ)-dimensional quantum gravity
Aida, T., & Kitazawa, Y. (1997) · Nuclear Physics B · doi:10.1016/s0550-3213(97)00091-6 · Cited by 60 · see citing works
The ϵ-expansion of two-dimensional quantum gravity
Jack, I., & Jones, D. R. T. (1991) · Nuclear Physics B · doi:10.1016/0550-3213(91)90430-6 · Cited by 60 · see citing works
Towards a double scaling limit for tensor models: probing sub-dominant orders
Kamiński, W., Oriti, D., & Ryan, J. P. (2014) · New Journal of Physics · doi:10.1088/1367-2630/16/6/063048 · Cited by 59 · see citing works
Possible types of critical behaviour and the mean size of dynamically triangulated random surfaces
Boulatov, D. V., Kazakov, V., Kostov, I. K., & Migdal, A. (1986) · Physics Letters B · doi:10.1016/0370-2693(86)91134-2 · Cited by 59 · see citing works
Asymptotic safety, emergence and minimal length
Roberto Percacci, A., & Vacca, G. P. (2010) · Classical and Quantum Gravity · doi:10.1088/0264-9381/27/24/245026 · Cited by 58 · see citing works
Conformal invariance and renormalization group in quantum gravity near two dimensions
Aida, T., Kitazawa, Y., Kawai, H., & Ninomiya, M. (1994) · Nuclear Physics B · doi:10.1016/0550-3213(94)90273-9 · Cited by 50 · see citing works
Rivasseau, V. (2014) · Fortschritte der Physik · doi:10.1002/prop.201400057 · Cited by 36 · see citing works
Nonlinear renormalization group equation for matrix models
Higuchi, S., Itoi, C., Nishigaki, S., & SAKAI, N. (1993) · Physics Letters B · doi:10.1016/0370-2693(93)91785-l · Cited by 28 · see citing works
FUNCTIONAL RENORMALIZATION OF NONCOMMUTATIVE SCALAR FIELD THEORY
Sfondrini, A., & KOSLOWSKI, T. A. (2011) · International Journal of Modern Physics A · doi:10.1142/s0217751x11054048 · Cited by 27 · see citing works
Self-citationTwo-dimensional quantum gravity in temporal gauge
Fukuma, M., Ishibashi, N., Kawai, H., et al. (1994) · Nuclear Physics B · doi:10.1016/0550-3213(94)90272-0 · Cited by 22 · see citing works
Renormalization Group Approach to Matrix Models and Vector Models
Higuchi, S., Itoi, C., & Norisuke Sakai, B. (1993) · Progress of Theoretical Physics Supplement · doi:10.1143/ptps.114.53 · Cited by 16 · see citing works
Renormalization group approach to matrix models in two-dimensional quantum gravity
Ayala, C. (1993) · Physics Letters B · doi:10.1016/0370-2693(93)90533-n · Cited by 14 · see citing works
Exact beta functions in the vector model and renormalization group approach
Higuchi, S., Itoi, C., & Norisuke Sakai, B. (1993) · Physics Letters B · doi:10.1016/0370-2693(93)90493-2 · Cited by 12 · see citing works
R2 GRAVITY IN (2+ε)-DIMENSIONAL QUANTUM GRAVITY
NISHIMURA, J., TAMURA, S., & TSUCHIYA, A. (1994) · Modern Physics Letters A · doi:10.1142/s0217732394003403 · Cited by 9 · see citing works
Renormalization group for matrix models with branching interactions
Bonnet, G., & David, F. (1999) · Nuclear Physics B · doi:10.1016/s0550-3213(99)00219-9 · Cited by 6 · see citing works
Flagged first, then by citations
Research works printed but not linked: 12
- [38]J. Ambjorn, L. Chekhov, C. F. Kristjansen and Y. Makeenko, Nucl. Phys. B 404 , 127 (1993) [Erratum-ibid. B 449 , 681 (1995)] [hep-th/9302014]. · arXiv
- [40]J. Berges, N. Tetradis and C. Wetterich, Phys. Rept. 363 (2002) 223 [hep-ph/0005122]. J. Polonyi, Central Eur. J. Phys. 1 (2003) 1. [hep-th/0110026]; J. M. Pawlowski, Annals Phys. 322 (2007) 2831 [arXiv:hep-th/0512261]; B. Delamotte, Lect. Notes Phys. 852 , 49 (2012) [cond-mat/0702365 [COND-MAT]]; O. J. Rosten, arXiv:1003.1366 [hep-th]. · arXiv
- [45]A. Sfondrini and T. A. Koslowski, Int. J. Mod. Phys. A 26 (2011) 4009 [arXiv:1006.5145 [hep-th]]. · arXiv
- [47]S. Weinberg, In *Hawking, S.W., Israel, W.: General Relativity*, 790-831 (Cambridge University Press, Cambridge, 1980).
- R171 (2007) [gr-qc/0610018]; R. Percacci, In Oriti, D. (ed.): 'Approaches to quantum gravity' 111-128 [arXiv:0709.3851 [hep-th]]; D. F. Litim, arXiv:0810.3675 [hep-th]; Phil. Trans. Roy. Soc. Lond. A 369 , 2759 (2011) [arXiv:1102.4624 [hep-th]]; R. Percacci, arXiv:1110.6389 [hep-th]; M. Reuter and F. Saueressig, New J. Phys. 14 , 055022 (2012) [arXiv:1202.2274 [hep-th]]; arXiv:1205.5431 [hep-th]; S. Nagy, arXiv:1211.4151 [hepth]. · arXiv
- [50]R. Percacci and G. P. Vacca, Class. Quant. Grav. 27 , 245026 (2010) [arXiv:1008.3621 [hep-th]]. · arXiv
- [51]J. Ambjorn, S. Jordan, J. Jurkiewicz and R. Loll, Phys. Rev. Lett. 107 , 211303 (2011) [arXiv:1108.3932 [hep-th]]; J. Ambjorn, S. Jordan, J. Jurkiewicz and R. Loll, Phys. Rev. D 85 , 124044 (2012) [arXiv:1205.1229 [hep-th]]. · arXiv
- [52]M. Reuter and H. Weyer, Phys. Rev. D 80 , 025001 (2009) [arXiv:0804.1475 [hep-th]]. · arXiv
- [53]J. Ambjorn, J. Jurkiewicz and R. Loll, Phys. Rev. Lett. 95 , 171301 (2005) [hep-th/0505113]; A. Gorlich, arXiv:1111.6938 [hep-th]; D. Benedetti and J. Henson, Phys. Rev. D 80 , 124036 (2009) [arXiv:0911.0401 [hepth]]; C. Anderson, S. J. Carlip, J. H. Cooperman, P. Horava, R. K. Kommu and P. R. Zulkowski, Phys. Rev. D 85 , 044027 (2012) [arXiv:1111.6634 [hep-th]]. · arXiv
- [54]O. Lauscher and M. Reuter, JHEP 0510 , 050 (2005) [hep-th/0508202]; O. Lauscher and M. Reuter, In *Fauser, B. (ed.) et al.: Quantum gravity* 293-313 [hep-th/0511260]; M. Reuter and F. Saueressig, JHEP 1112 , 012 (2011) [arXiv:1110.5224 [hep-th]]; S. Rechenberger and F. Saueressig, Phys. Rev. D 86 , 024018 (2012) [arXiv:1206.0657 [hep-th]]; G. Calcagni, A. Eichhorn and F. Saueressig, Phys. Rev. D 87 , 124028 (2013) [arXiv:1304.7247 [hep-th]]. · arXiv
- [55]P. Horava, Phys. Rev. Lett. 102 , 161301 (2009) [arXiv:0902.3657 [hep-th]]; T. P. Sotiriou, M. Visser and S. Weinfurtner, Phys. Rev. Lett. 107 , 131303 (2011) [arXiv:1105.5646 [gr-qc]]. · arXiv
- [56]S. M. Christensen and M. J. Duff, Phys. Lett. B 79 , 213 (1978); R. Gastmans, R. Kallosh and C. Truffin, Nucl. Phys. B 133 , 417 (1978); H. Kawai and M. Ninomiya, Nucl. Phys. B 336 , 115 (1990); I. Jack and D. R. T. Jones, Nucl. Phys. B 358 , 695 (1991); H. Kawai, Y. Kitazawa and M. Ninomiya, Nucl. Phys. B 393 , 280 (1993) [hep-th/9206081]; Nucl. Phys. B 404 , 684 (1993) [hep-th/9303123]; M. Fukuma, N. Ishibashi, H. Kawai and M. Ninomiya, Nucl. Phys. B 427 , 139 (1994) [hep-th/9312175]; H. Kawai, Y. Kitazawa and M. Ninomiya, Prog. Theor. Phys. Suppl. 114 , 149 (1993); T. Aida, Y. Kitazawa, H. Kawai and M. Ninomiya, Nucl. Phys. B 427 , 158 (1994) [hep-th/9404171]; J. Nishimura, S. Tamura and A. Tsuchiya, Mod. Phys. Lett. A 9 , 3565 (1994) [hep-th/9405059]; H. Kawai, Y. Kitazawa and M. Ninomiya, Nucl. Phys. B 467 , 313 (1996) [hepth/9511217]; T. Aida and Y. Kitazawa, Nucl. Phys. B 491 , 427 (1997) [hep-th/9609077]. · arXiv
Cited by
Sorted by citations
The nonperturbative functional renormalization group and its applications
Dupuis, N., Canet, L., Eichhorn, A., Metzner, W., Pawlowski, J. M., Tissier, M., & Wschebor, N. (2021) · Physics Reports · doi:10.1016/j.physrep.2021.01.001 · Cited by 660 · see citing works
Self-citationGeloun, J. B., Martini, R., & Oriti, D. (2016) · Physical Review D · doi:10.1103/physrevd.94.024017 · Cited by 71 · see citing works
Functional Renormalization Group analysis of a Tensorial Group Field Theory on $\mathbb{R}^3$
Ben Geloun, J., Martini, R., & Oriti, D. (2015) · EPL (Europhysics Letters) · doi:10.1209/0295-5075/112/31001 · Cited by 62 · see citing works
Impact of nonlinear effective interactions on group field theory quantum gravity condensates
Pithis, A. G. A., Sakellariadou, M., & Tomov, P. (2016) · Physical Review D · doi:10.1103/physrevd.94.064056 · Cited by 34 · see citing works
- Authors
- Eichhorn, A., & Koslowski, T.
- Affiliations
- Perimeter Institute (CA)
- University of New Brunswick (CA)
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2014-11-25
- Volume
- 90
- Issue
- 10
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2079994329
- Cited by
- 51
- References
- 87
- Citations by year
- 2026: 1 · 2025: 2 · 2024: 5 · 2023: 3 · 2021: 5 · 2020: 9 · 2019: 3 · 2018: 5 · 2017: 4 · 2016: 7 · 2015: 5 · 2014: 1 · 2013: 1
- FWCI
- 3.73
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Mathematics › Mathematical Physics › advanced mathematical theories
- Keywords
- quantum gravity, phase transitions, continuum limit, functional renormalization group, double scaling limit, matrix models, conformal matter, U(N) symmetry, Hermitian matrix model, renormalization group fixed points
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
