Lattice String Field Theory: The linear dilaton in one dimension

TL;DR

This paper introduces a lattice field theory approach to study non-perturbative string field theory, focusing on a one-dimensional linear dilaton model to explore potential obstacles and solutions.

Contribution

It pioneers applying lattice field theory to string field theory and demonstrates its feasibility in a simplified one-dimensional linear dilaton setting.

Findings

Identified key obstacles in applying lattice methods to string field theory.

Explored potential resolutions to these obstacles.

Analyzed results in the one-dimensional linear dilaton case.

Abstract

We propose the use of lattice field theory for the study of string field theory at the non-perturbative quantum level. We identify many potential obstacles and examine possible resolutions thereof. We then experiment with our approach in the particularly simple case of a one-dimensional linear dilaton and analyse the results.