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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 7: Quantenfeldtheorie I

MP 7.2: Vortrag

Mittwoch, 19. März 2014, 15:00–15:20, SPA SR125

Low-dimensional quantum matrix models — •Robert Hübener¹, Yasuhiro Sekino², and Jens Eisert¹ — ¹Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, 14195 Berlin, Germany — ²KEK Theory Center, Tsukuba 305-0801, Japan

Matrix models play an important role in studies of quantum gravity, being candidates for a formulation of M-theory, but are notoriously difficult to solve. In this work, we present a fresh approach by introducing a novel exact model provably equivalent with low-dimensional bosonic matrix models. In this equivalent model significant structure becomes apparent and it can serve as a simple toy model for analytical and precise numerical study. We are able to derive a substantial part of the low energy spectrum, find a conserved charge, are able to derive numerically almost linear Regge trajectories, and thereby shed some light on the chaotic dynamics, as well as find a tentative solution for the whole spectrum. To exemplify the usefulness of the approach, we address questions of equilibration starting from a non-equilibrium situation in matrix models. We finally discuss possible generalisations of the approach.