Path Integral Approach to 't Hooft's Derivation of Quantum from Classical Physics

Abstract

We present a path-integral formulation of 't Hooft's derivation of quantum from classical physics. The crucial ingredient of this formulation is Gozzi et al.'s supersymmetric path integral of classical mechanics. We quantize explicitly two simple classical systems: the planar mathematical pendulum and the Roessler dynamical system.Comment: 29 pages, RevTeX, revised version with minor changes, accepted to Phys. Rev.