Equilibration in low-dimensional quantum matrix models. (English) Zbl 1388.81014

Hübener, R.; Sekino, Y.; Eisert, J.

J. High Energy Phys. 2015, No. 4, Paper No. 166, 18 p. (2015).

Summary: 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 a low-dimensional bosonic matrix model, which is on its own a well-known, unsolved model of quantum chaos. In our equivalent reformulation local structure becomes apparent, facilitating analytical and precise numerical study. We derive a substantial part of the low energy spectrum, find a conserved charge, and are able to derive numerically the Regge trajectories. To exemplify the usefulness of the approach, we address questions of equilibration starting from a non-equilibrium situation, building upon an intuition from quantum information. We finally discuss possible generalisations of the approach.

MSC:

81P05	General and philosophical questions in quantum theory
83C45	Quantization of the gravitational field

Keywords:

M(atrix) theories; matrix models; field theories in lower dimensions; gauge symmetry

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