Quantum Phase Space from String Solitons

TL;DR

This paper models the quantum phase space of a point particle using string theory techniques involving string solitons, non-critical sigma-models, and Liouville dressing, reproducing quantum mechanics and the generalized uncertainty principle.

Contribution

It introduces a novel approach linking string solitons and sigma-model couplings to quantum phase space, extending to generalized uncertainty principles.

Findings

Reproduces quantum mechanical commutator from string theory

Derives the generalized string uncertainty principle

Connects string solitons with quantum phase space

Abstract

In this paper we view the sigma-model couplings of appropriate vertex operators describing the interaction of string matter with a certain type of string solitons (0-branes) as the quantum phase space of a point particle. The sigma-model is slightly non critical, and therefore one should dress it with a Liouville mode. Quantization is achieved by summing over world-sheet genera (in the pinched approximation). To leading order in the coupling constant expansion, the quantization reproduces the usual quantum mechanical commutator. We attempt to go beyond leading order and we reproduce the generalized string uncertainty principle.