Renormalization of the Classical Bosonic String

TL;DR

This paper presents a renormalization approach for a classical bosonic string interacting with a scalar field, highlighting the necessity of including excitation modes to achieve a finite, well-defined string object.

Contribution

It introduces a renormalization procedure for classical bosonic strings coupled to scalar fields and emphasizes the importance of excitation modes for finiteness.

Findings

Classical equations are non-renormalizable in more than four dimensions.

Including excitation modes makes the string a finite object.

Renormalization depends on the number of spacetime dimensions.

Abstract

We discuss a renormalization procedure for a classical bosonic string coupled to a massless scalar field. The classical equations of motion for this system are non-renormalizable if the number of spacetime dimensions exceeds four. Our analysis indicates that string excitation modes must be included to make the string a finite object.