München 2019 – wissenschaftliches Programm

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 5: Gittertheorien und Spinmodelle

MP 5.4: Vortrag

Dienstag, 19. März 2019, 15:30–15:50, HS 23

Lattice gauge theory: operator algebras and renormalization — •Alexander Stottmeister — Mathematisches Institut, Westfälische Wilhelms-Universität Münster

We discuss Hamiltonian lattice gauge theory and the implementation of Wilson’s approach to the renormalization group from an operator-algebraic perspective. We indicate how the problem of identifying suitable continuum limits can be used to construct interesting examples of von Neumann algebras. Moreover, we relate the latter with a recent proposal of Jones for the construction of representations of the Thompson groups. As a working example, we present the construction of Yang-Mills theory on a space-time cylinder and relate it with quantum stochastic processes.