Karlsruhe 2011 – scientific programme
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T: Fachverband Teilchenphysik
T 23: Gittereichtheorie I
T 23.1: Talk
Monday, March 28, 2011, 16:45–17:00, 30.23: 10-1
Formulae for Topological Charge in Noncommutative U(1) Theory in Four Dimensions — Arifa Ali Khan1, Ahmed Al-Haydari1, Galal Saad Hassan1, and •Harald Markum2 — 1University of Taiz, Yemen — 2Vienna University of Technology
We discuss U(1) gauge theory with noncommutative space-time coordinates in two and four dimensions on a lattice with N sites. The mapping to a U(N) plaquette model in the sense of Eguchi and Kawai makes both analytical calculations and computer simulations feasible. The topological charge q can be transcribed to the plaquette and hypercube formulation in the matrix theory in 4D. There exist formulations of the classical equation of motion within the matrix model. From them we try to derive general formulae for q in four dimensions. The aim is to analyze an action-charge diagram as in 2D.