#### Filter Results:

- Full text PDF available (17)

#### Publication Year

1983

2015

- This year (0)
- Last 5 years (1)
- Last 10 years (5)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

We establish the phase diagram of three–dimensional quantum gravity coupled to Ising matter. We find that in the negative curvature phase of the quantum gravity there is no disordered phase for ferromagnetic Ising matter because the coordination number of the sites diverges. In the positive curvature phase of the quantum gravity there is evidence for two… (More)

- S Catterall, G Thorleifsson, J Kogut, R Renken
- 1983

By a sequence of numerical experiments we demonstrate that generic triangulations of the D−sphere forD > 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… (More)

- S J Hands, A Koci´c, J B Kogut, R L Renken, D K Sinclair, K C Wang
- 1992

Non-compact lattice QED with two flavors of light dynamical quarks is simulated on 16 lattices, and the chiral condensate, monopole density and susceptibility and the meson masses are measured. Data from relatively high statistics runs at relatively small bare fermion masses of 0.005, 0.01, 0.02 and 0.03 (lattice units) are presented. Three independent… (More)

- S Catterall, J Kogut, R Renken
- 1994

We have studied a model which has been proposed as a regularisation for four dimensional quantum gravity. The partition function is constructed by performing a weighted sum over all triangulations of the four sphere. Using numerical simulation we nd that the number of such triangulations containing V simplices grows faster than exponentially with V. This… (More)

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… (More)

- R. L. Renken
- 1996

A block spin renormalization group approach is introduced which can be applied to dynamical triangulations in any dimension.

- Ray L. Renken
- 1996

A block spin renormalization group approach is proposed for the dynamical triangulation formulation of quantum gravity in arbitrary dimensions. Renormalization group flow diagrams are presented for the three-dimensional and four-dimensional theories near their respective transitions. PACS numbers: 04.60.+n, 05.70.Jk, 11.10.Gh

We use Monte Carlo simulation to study the phase diagram of three-dimensional dynamical triangulations with a boundary. Three phases are indentified and characterized. One of these phases is a new, boundary dominated phase; a simple argument is presented to explain its existence. First-order transitions are shown to occur along the critical lines separating… (More)

- Ray L. Renken
- 1993

We study the XYmodel on a lattice with fluctuating connectivity. The expectation is that at an appropriate critical point such a system corresponds to a compactified boson coupled to 2d quantum gravity. Our simulations focus, in particular, on the important topological features of the system. The results lend strong support to the two phase structure… (More)

The RP 2 gauge model which allows interpolation between the RP 2 and O(3) spin models is studied in 2D. We use Monte-Carlo renormalization techniques for blocking the mean spin-spin interaction, 〈A〉, and the mean gauge field plaquette, 〈P 〉. The presence of the O(3) renormalized trajectory is verified and is consistent with the known three-loop β-function.… (More)