The Strength of Non-Perturbative Effects in Matrix Models and String Effective Lagrangians

TL;DR

This paper investigates non-perturbative effects in matrix models and string effective Lagrangians, focusing on eigenvalue instantons and their potential to induce operators and break supersymmetry dynamically.

Contribution

It provides explicit calculations of non-perturbative interactions induced by eigenvalue instantons in matrix models, including the form of induced operators and implications for supersymmetry.

Findings

Eigenvalue instantons induce specific operators in matrix models.

A well-defined approximation scheme for these effects is developed.

Potential for dynamical supersymmetry breaking via instantons is discussed.

Abstract

We present a summary of the results of an explicit calculation of the strength of non-perturbative interactions in matrix models and string effective Lagrangians. These interactions are induced by single eigenvalue instantons in the $d=1$ bosonic matrix model. A well defined approximation scheme is used to obtain induced operators whose exact form we exhibit. We briefly discuss the possibility that similar instantons in a supersymmetric version of the theory may break supersymmetry dynamically.