Author:
Ambjørn J.,Gizbert-Studnicki J.,Görlich A.,Jurkiewicz J.,Németh D.
Abstract
Abstract
We investigate the impact of topology on the phase structure of fourdimensional Causal Dynamical Triangulations (CDT). Using numerical Monte Carlo simulations we study CDT with toroidal spatial topology. We confirm existence of all four distinct phases of quantum geometry earlier observed in CDT with spherical spatial topology. We plot the toroidal CDT phase diagram and find that it looks very similar to the case of the spherical spatial topology.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference61 articles.
1. S. Weinberg, General relativity, an einstein centenary survey, Camrbidge University Press, Cambridge U.K. (1997).
2. M.H. Goroff and A. Sagnotti, The ultraviolet behavior of Einstein gravity, Nucl. Phys. B 266 (1986) 709 [INSPIRE].
3. G. ’t Hooft and M.J.G. Veltman, One loop divergencies in the theory of gravitation, Ann. Poincaré Phys. Theor. A20 (1974) 69.
4. E. Brézin and J. Zinn-Justin, Renormalization of the nonlinear σ-model in 2 + epsilon dimensions. Application to the Heisenberg ferromagnets, Phys. Rev. Lett. 36 (1976) 691 [INSPIRE].
5. K. Gawedzki and A. Kupiainen, Renormalizing the nonrenormalizable, Phys. Rev. Lett. 55 (1985) 363 [INSPIRE].
Cited by
26 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献