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6 papers · 1 filter
Noncommutative Geometry and The Ising Model
Andrzej Sitarz
The main aim of this work is to present the interpretation of the Ising type models as a kind of field theory in the framework of noncommutative geometry. We present the method and…
Noncommutative Geometry and Gauge Theories on Discrete Groups
Andrzej Sitarz
We build and investigate a pure gauge theory on arbitrary discrete groups. A systematic approach to the construction of the differential calculus is presented. We discuss the metri…
Trapped surfaces and spherical closed cosmologies
Edward Malec, Niall Ó Murchadha
This article gives necessary and sufficient conditions for the formation of trapped surfaces in spherically symmetric initial data defined on a closed manifold. Such trapped surfac…
Quantum Gravity, Dynamical Triangulation and Higer Derivative Regularization
J. Ambjorn, J. Jurkiewicz, C. F. Kristjansen
We consider a discrete model of euclidean quantum gravity in four dimensions based on a summation over random simplicial manifolds. The action used is the Einstein-Hilbert action p…
The Theory of Dynamical Random Surfaces with Extrinsic Curvature
J. Ambjorn, A, Irback +2
We analyze numerically the critical properties of a two-dimensional discretized random surface with extrinsic curvature embedded in a three-dimensional space. The use of the toroid…
3d quantum gravity coupled to matter
J. Ambjorn, Z. Burda, J. Jurkiewicz +1
We investigate the phase structure of three-dimensional quantum gravity coupled to an Ising spin system by means of numerical simulations. The quantum gravity part is modelled by t…