More About Partition Function of Open Bosonic String in Background Fields and String Theory Effective Action

TL;DR

This paper refines the connection between the open bosonic string's partition function in background fields and the effective action, providing derivative corrections to the Born-Infeld action that include all gauge field powers.

Contribution

It introduces leading derivative corrections to the Born-Infeld action derived from the refined relation between the partition function and the effective action.

Findings

Derived all-order derivative corrections to the Born-Infeld action.

Enhanced understanding of the partition function's role in string effective actions.

Provided a more precise link between string theory background fields and low-energy effective actions.

Abstract

We refine the relation between the renormalized partition function of the open bosonic string in background fields and the effective action. In the process, we get some leading derivative corrections to the Born-Infeld action which include all powers of the gauge field.