Heidelberg 2007 – scientific programme

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T: Fachverband Teilchenphysik

T 208: Gittereichtheorie

T 208.7: Talk

Tuesday, March 6, 2007, 18:20–18:35, KIP SR 2.403

On the Topology of Non-commutative Geometry on the Lattice — •Harald Markum¹, Wolfgang Frisch¹, and Harald Grosse² — ¹Atominstitut, Vienna University of Technology, Austria — ²Department for Theoretical Physics, University of Vienna, Austria

Theories with non-commutative space-time coordinates represent alternative candidates of grand unified theories. We discuss U(1) gauge theories in 2 and 4 dimensions on a lattice with N sites [1]. The mapping to a U(N) one-plaquette model in the sense of Eguchi and Kawai can be used for computer simulations. The choice of the boundary conditions leads to a torus or sphere. We are discussing the confinement mechanism and the formulation of topological objects.
[1] W. Bietenholz et al., Fortsch. Phys. 53 (2005) 418