Finite size corrections in two dimensional gauge theories and a quantitative chiral test of the overlap

TL;DR

This paper investigates finite size effects in two-dimensional gauge theories, confirming universality and demonstrating that the overlap method accurately approaches the continuum limit in a specific chiral model.

Contribution

It provides a direct calculation validating the universality of finite size corrections and confirms the overlap method's effectiveness in approaching the continuum limit.

Findings

Finite size corrections are universal in 2D gauge theories.

The overlap method approaches the continuum limit within statistical errors.

Analytical results support the universality and accuracy of the overlap in a chiral model.

Abstract

An argument is presented for a certain universality of finite size corrections in two dimensional gauge theories. In the abelian case a direct calculation is carried out for a particular chiral model. The analytical result confirms the above universality and that the 't Hooft vertex previously measured using the overlap smoothly approaches the correct continuum limit within statistical errors.