The use of Pauli-Villars' regularization in string theory

TL;DR

This paper investigates the application of Pauli-Villars regularization in string theory, demonstrating its universality and computing key physical quantities, thereby connecting different regularization approaches.

Contribution

It extends the analysis of string regularization methods by applying Pauli-Villars regularization and confirming the universality of results in this context.

Findings

Susceptibility anomalous dimension equals 1/2

Results are universal across regularization schemes

Connections to lattice string results are discussed

Abstract

The proper-time regularization of bosonic string reproduces the results of canonical quantization in a special scaling limit where the length in target space has to be renormalized. We repeat the analysis for the Pauli-Villars regularization and demonstrate the universality of the results. In the mean-field approximation we compute the susceptibility anomalous dimension and show it equals 1/2. We discuss the relation with the previously known results on lattice strings.