Loop Space Hamiltonians And Field Theory Of Non-Critical Strings

TL;DR

This paper explores the loop space formulation of multi-matrix models, linking stochastic quantization to non-critical string field theory through collective field interactions.

Contribution

It introduces a loop space approach to multi-matrix models and connects stochastic quantization with non-critical string field theory.

Findings

Loop space representation of multi-matrix models developed.

Stochastic quantization explains the emergence of a time variable.

Collective field theory generates a non-critical string field theory.

Abstract

We consider the loop space representation of multi-matrix models. Explaining the origin of a time variable through stochastic quantization we make contact with recent proposals of Ishibashi and Kawai. We demonstrate how collective field theory with its loop space interactions generates a field theory of non-critical strings.