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5 papers · 1 filter
The Renormalization Group and Dynamical Triangulations
Ray L. Renken
A block spin renormalization group approach is introduced which can be applied to dynamical triangulations in any dimension.
Simplicial Gravity in Dimension Greater than Two
S. Catterall, G. Thorleifsson, R. Renken +1
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)…
Exclusion statistics for fractional quantum Hall states on a sphere
S. B. Isakov, G. S. Canright, M. D. Johnson
We discuss exclusion statistics parameters for quasiholes and quasielectrons excited above the fractional quantum Hall states near . We derive the diagonal statistics…
A Renormalization Group for Dynamical Triangulations in Arbitrary Dimensions
Ray L. Renken
A block spin renormalization group approach is proposed for the dynamical triangulation formulation of quantum gravity in arbitrary dimensions. Renormalization group flow diagrams…
Ensemble Density Functional Theory for Inhomogeneous Fractional Quantum Hall Systems
O. Heinonen, M. I. Lubin, M. D. Johnson
The fractional quantum Hall effect (FQHE) occurs at certain magnetic field strengths B*(n) in a two-dimensional electron gas of density n at strong magnetic fields perpendicular to…