24 citations · 40 across the 4 of their papers we have counts for
4 papers
On state sums, internalisation and unification
M. D. Sheppeard
In this mostly expository article, elements of higher category theory essential to the construction of a class of four dimensional quantum geometric models are reviewed. These mode…
2-categorical Poincare Representations and State Sum Applications
L. Crane, M. D. Sheppeard
This is intended as a self-contained introduction to the representation theory developed in order to create a Poincare 2-category state sum model for Quantum Gravity in 4 dimension…
The geometrization of matter proposal in the Barrett-Crane model and resolution of cosmological problems
S. Alexander, L. Crane, M. D. Sheppeard
We give an overview of the current issues in early universe cosmology and consider the potential resolution of these issues in an as yet nascent spin foam cosmology. The model is t…
Universality for SU(2) Yang-Mills Theory in (2+1)D
C. J. Hamer, M. Sheppeard, Zheng Weihong +1
The Green's Function Monte Carlo method of Chin et al is applied to SU(2) Yang-Mills theory in (2+1)D. Accurate measurements are obtained for the ground-state energy and mean plaqu…