论文信息 - Singular vertices and the triangulation space of the D-sphere

Singular vertices and the triangulation space of the D-sphere

Abstract By a sequence of numerical experiments we demonstrate that generic triangulations of the D -sphere for D > 3 contain one singular ( D - 3)-simplex. The mean number of elementary D -simplices sharing this simplex increases with the volume of the triangulation according to a simple power law. The lower dimension subsimplices associated with this ( D - 3)-simplex also show a singular behaviour. Possible consequences for the DT model of four-dimensional quantum gravity are discussed.

[1] Jerzy Jurkiewicz,et al. Four-dimensional simplicial quantum gravity , 1992 .

[2] J. Smit,et al. Volume dependence of the phase boundary in 4D dynamical triangulation , 1994, hep-lat/9405013.

[3] M. Gross,et al. Elementary moves and ergodicity in D-dimensional simplicial quantum gravity , 1992 .

[4] Simplicial Quantum Gravity and Random Lattices , 1993, hep-th/9303127.

[5] Entropy and the approach to the thermodynamic limit in three-dimensional simplicial gravity , 1994, hep-lat/9408015.

[6] Bas V. de Bakker. Absence of barriers in dynamical triangulation , 1994, hep-lat/9411070.

[7] Entropy of random coverings and 4D quantum gravity , 1994, hep-th/9412097.

[8] On the exponential bound in four dimensional simplical gravity , 1994, hep-lat/9405010.

[9] J. Kogut,et al. Phase structure of four dimensional simplicial quantum gravity , 1994, hep-lat/9401026.

[10] J. Jurkiewicz,et al. Scaling in four-dimensional quantum gravity , 1995, hep-th/9503006.