Abstract
This work focuses on the newly discovered bifurcation phase transition of CDT quantum gravity. We define various order parameters and investigate which is most suitable to study this transition in numerical simulations. By analyzing the behaviour of the order parameters we present evidence that the transition separating the bifurcation phase and the physical phase of CDT is likely a second or higher-order transition, a result that may have important implications for the continuum limit of CDT.
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J. Ambjørn, A. Görlich, J. Jurkiewicz and R. Loll, The nonperturbative quantum de Sitter universe, Phys. Rev. D 78 (2008) 063544 [arXiv:0807.4481] [INSPIRE].
J. Ambjørn, J. Jurkiewicz and R. Loll, Spectral dimension of the universe, Phys. Rev. Lett. 95 (2005) 171301 [hep-th/0505113] [INSPIRE].
O. Lauscher and M. Reuter, Fractal spacetime structure in asymptotically safe gravity, JHEP 10 (2005) 050 [hep-th/0508202] [INSPIRE].
P. Hořava, Spectral dimension of the universe in quantum gravity at a Lifshitz point, Phys. Rev. Lett. 102 (2009) 161301 [arXiv:0902.3657] [INSPIRE].
L. Modesto, Fractal structure of loop quantum gravity, Class. Quant. Grav. 26 (2009) 242002 [arXiv:0812.2214] [INSPIRE].
J.J. Atick and E. Witten, The Hagedorn transition and the number of degrees of freedom of string theory, Nucl. Phys. B 310 (1988) 291 [INSPIRE].
J. Ambjørn, J. Jurkiewicz and R. Loll, Reconstructing the universe, Phys. Rev. D 72 (2005) 064014 [hep-th/0505154] [INSPIRE].
S. Catterall, J.B. Kogut and R. Renken, Phase structure of four-dimensional simplicial quantum gravity, Phys. Lett. B 328 (1994) 277 [hep-lat/9401026] [INSPIRE].
P. Bialas, Z. Burda, A. Krzywicki and B. Petersson, Focusing on the fixed point of 4D simplicial gravity, Nucl. Phys. B 472 (1996) 293 [hep-lat/9601024] [INSPIRE].
B.V. de Bakker, Further evidence that the transition of 4D dynamical triangulation is first order, Phys. Lett. B 389 (1996) 238 [hep-lat/9603024] [INSPIRE].
D. Coumbe and J. Laiho, Exploring Euclidean dynamical triangulations with a non-trivial measure term, JHEP 04 (2015) 028 [arXiv:1401.3299] [INSPIRE].
J. Ambjørn, L. Glaser, A. Görlich and J. Jurkiewicz, Euclidian 4D quantum gravity with a non-trivial measure term, JHEP 10 (2013) 100 [arXiv:1307.2270] [INSPIRE].
T. Regge, General relativity without coordinates, Nuovo Cim. 19 (1961) 558 [INSPIRE].
J. Ambjørn, S. Jordan, J. Jurkiewicz and R. Loll, A second-order phase transition in CDT, Phys. Rev. Lett. 107 (2011) 211303 [arXiv:1108.3932] [INSPIRE].
J. Ambjørn, S. Jordan, J. Jurkiewicz and R. Loll, Second- and first-order phase transitions in CDT, Phys. Rev. D 85 (2012) 124044 [arXiv:1205.1229] [INSPIRE].
J. Ambjørn, D.N. Coumbe, J. Gizbert-Studnicki and J. Jurkiewicz, Signature change of the metric in CDT quantum gravity?, JHEP 08 (2015) 033 [arXiv:1503.08580] [INSPIRE].
J. Ambjørn, J. Gizbert-Studnicki, A. Görlich and J. Jurkiewicz, The effective action in 4-dim CDT. The transfer matrix approach, JHEP 06 (2014) 034 [arXiv:1403.5940] [INSPIRE].
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ArXiv ePrint: 1510.08672
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Coumbe, D.N., Gizbert-Studnicki, J. & Jurkiewicz, J. Exploring the new phase transition of CDT. J. High Energ. Phys. 2016, 144 (2016). https://doi.org/10.1007/JHEP02(2016)144
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DOI: https://doi.org/10.1007/JHEP02(2016)144