Simplicial gravity in dimension greater than two

S. Catterall; G. Thorleifsson; J. Kogut; R. Renken

doi:10.1016/S0920-5632(96)00773-6

Simplicial gravity in dimension greater than two

S. Catterall, G. Thorleifsson, J. Kogut, R. Renken

Department of Physics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We consider two issues in the DT model of quantum gravity. First, it is shown that the triangulation space for D > 3 is dominated by triangulations containing a single singular (D - 3)-simplex composed of vertices with divergent dual volumes. Second we study the ergodicity of current simulation algorithms. Results from runs conducted close to the phase transition of the four-dimensional theory are shown. We see no strong indications of ergodicity breaking in the simulation and our data support recent claims that the transition is most probably first order. Furthermore, we show that the critical properties of the system are determined by the dynamics of remnant singular vertices.

Original language	English (US)
Pages (from-to)	756-759
Number of pages	4
Journal	Nuclear Physics B - Proceedings Supplements
Volume	53
Issue number	1-3
DOIs	https://doi.org/10.1016/S0920-5632(96)00773-6
State	Published - Feb 1997

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Nuclear and High Energy Physics

Access to Document

10.1016/S0920-5632(96)00773-6

Cite this

@article{532034f5486144d5a8803ebba5ca7472,

title = "Simplicial gravity in dimension greater than two",

abstract = "We consider two issues in the DT model of quantum gravity. First, it is shown that the triangulation space for D > 3 is dominated by triangulations containing a single singular (D - 3)-simplex composed of vertices with divergent dual volumes. Second we study the ergodicity of current simulation algorithms. Results from runs conducted close to the phase transition of the four-dimensional theory are shown. We see no strong indications of ergodicity breaking in the simulation and our data support recent claims that the transition is most probably first order. Furthermore, we show that the critical properties of the system are determined by the dynamics of remnant singular vertices.",

author = "S. Catterall and G. Thorleifsson and J. Kogut and R. Renken",

year = "1997",

month = feb,

doi = "10.1016/S0920-5632(96)00773-6",

language = "English (US)",

volume = "53",

pages = "756--759",

journal = "Nuclear Physics B - Proceedings Supplements",

issn = "0920-5632",

publisher = "Elsevier",

number = "1-3",

}

TY - JOUR

T1 - Simplicial gravity in dimension greater than two

AU - Catterall, S.

AU - Thorleifsson, G.

AU - Kogut, J.

AU - Renken, R.

PY - 1997/2

Y1 - 1997/2

N2 - We consider two issues in the DT model of quantum gravity. First, it is shown that the triangulation space for D > 3 is dominated by triangulations containing a single singular (D - 3)-simplex composed of vertices with divergent dual volumes. Second we study the ergodicity of current simulation algorithms. Results from runs conducted close to the phase transition of the four-dimensional theory are shown. We see no strong indications of ergodicity breaking in the simulation and our data support recent claims that the transition is most probably first order. Furthermore, we show that the critical properties of the system are determined by the dynamics of remnant singular vertices.

AB - We consider two issues in the DT model of quantum gravity. First, it is shown that the triangulation space for D > 3 is dominated by triangulations containing a single singular (D - 3)-simplex composed of vertices with divergent dual volumes. Second we study the ergodicity of current simulation algorithms. Results from runs conducted close to the phase transition of the four-dimensional theory are shown. We see no strong indications of ergodicity breaking in the simulation and our data support recent claims that the transition is most probably first order. Furthermore, we show that the critical properties of the system are determined by the dynamics of remnant singular vertices.

UR - http://www.scopus.com/inward/record.url?scp=0031065374&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031065374&partnerID=8YFLogxK

U2 - 10.1016/S0920-5632(96)00773-6

DO - 10.1016/S0920-5632(96)00773-6

M3 - Article

AN - SCOPUS:0031065374

SN - 0920-5632

VL - 53

SP - 756

EP - 759

JO - Nuclear Physics B - Proceedings Supplements

JF - Nuclear Physics B - Proceedings Supplements

IS - 1-3

ER -

Simplicial gravity in dimension greater than two

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this