Jena 2013 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 13: Gitterfeldtheorie 2

MP 13.1: Talk

Thursday, February 28, 2013, 14:45–15:10, HS 8

Costratified Hilbert space structure for lattice gauge models — •Matthias Schmidt — Universität Leipzig, Institut für Theoretische Physik, Brüderstr. 16

The reduced phase space of a system with symmetries, like e.g. gauge theory, is stratified by orbit types. To examine hypothetical quantum effects of the stratification, one has to construct the associated costratification of the Hilbert space of the corresponding quantum theory, proposed by Huebschmann. The method will be explained for the adjoint quotient of SU(2), which can be interpreted as SU(2)-lattice gauge theory on a single plaquette, and attempts to generalize it to larger lattices and larger gauge groups will be discussed.