Normalization of the chiral condensate in the massive Schwinger model

TL;DR

This paper addresses the UV divergence in the first-order mass perturbation of the chiral condensate in the massive Schwinger model and proposes a normalization method for meaningful comparison with lattice data.

Contribution

It introduces a normalization scheme based on bosonization results to compare the chiral condensate with lattice data.

Findings

First-order perturbation is UV divergent without proper normalization

A normalization method aligns perturbative results with lattice data

Provides a framework for consistent comparison of theoretical and numerical results

Abstract

Within mass perturbation theory, already the first order contribution to the chiral condensate of the massive Schwinger model is UV divergent. We discuss the problem of choosing a proper normalization and, by making use of some bosonization results, we are able to choose a normalization so that the resulting chiral condensate may be compared, e.g., with lattice data.