Würzburg 2018 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 6: Nonperturbative QFT and Strong Fields

MP 6.1: Talk

Wednesday, March 21, 2018, 14:00–14:20, Z6 - SR 1.012

Hamiltonian lattice gauge theory and Weyl quantization — •Alexander Stottmeister — Dipartimento di Matematica, Università degli Studi di Roma "Tor Vergata", Via della Ricerca Scientifica 1, 00133 Roma, Italia

Weyl quantization and an adapted pseudo-differential calculus may serve as powerful tool to discuss the semi-classical limit of quantum systems. We will present results regarding the construction of a Weyl quantization for Hamiltonian gauge theories defined on directed systems of (finite) graphs. Moreover, we will approach the problem of defining associated symbol spaces and their pseudo-differential calculus. Finally, we dicuss the construction of states and methods to control the type of the resulting observable algebras.