Singular Vertices in the Strong Coupling Phase of Four--Dimensional Simplicial Gravity

Abstract

We study four--dimensional simplicial gravity through numerical simulation with special attention to the existence of singular vertices, in the strong coupling phase, that are shared by abnormally large numbers of four--simplices. The second order phase transition from the strong coupling phase into the weak coupling phase could be understood as the disappearance of the singular vertices. We also change the topology of the universe from the sphere to the torus.

arXiv comment10 pages, six PostScript figures; figures are also available at http://hep-th.phys.s.u-tokyo.ac.jp/~izubuchi/paper/4dqg/

References in corpus (8)

• Critical Behavior of Dynamically Triangulated Quantum Gravity in Four Dimensions
• Phase Structure of Four Dimensional Simplicial Quantum Gravity
• 4d Simplicial Quantum Gravity with a Non-Trivial Measure
• Quantum Gravity, Dynamical Triangulation and Higer Derivative Regularization
• Two-point functions in 4D dynamical triangulation
• Simulations of Dynamically Triangulated Gravity -- an Algorithm for Arbitrary Dimension
• Singular Vertices in the Strong Coupling Phase of Four-Dimensional Simplicial Gravity
• Volume dependence of the phase boundary in 4D dynamical triangulation

Cited by in corpus (9)

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• Dynamically Triangulating Lorentzian Quantum Gravity
• Discrete approaches to quantum gravity in four dimensions
• Condensation in nongeneric trees
• Singular Vertices and the Triangulation Space of the D-sphere
• Characteristics of the new phase in CDT
• Finite size scaling of the balls in boxes model
• Continuum interpretation of the dynamical-triangulation formulation of quantum Einstein gravity
• Using massless fields for observing black hole features in the collapsed phase of Euclidean dynamical triangulations