Instanton Effects in Matrix Models and String Effective Lagrangians

TL;DR

This paper calculates how single eigenvalue instantons influence the collective field theory in a bosonic matrix model, revealing specific induced operators and their explicit forms.

Contribution

It provides an explicit calculation of instanton effects on the continuous sector of the collective field theory in a $d=1$ bosonic matrix model, including the exact form of induced operators.

Findings

Explicit form of induced operators due to instantons

Calculation of lowest order instanton effects

Insights into eigenvalue instanton contributions

Abstract

We perform an explicit calculation of the lowest order effects of single eigenvalue instantons on the continuous sector of the collective field theory derived from a $d=1$ bosonic matrix model. These effects consist of certain induced operators whose exact form we exhibit.