Topological susceptibility and string tension in CP(N-1) models

TL;DR

This paper examines the topological susceptibility and string tension in CP(N-1) models across various N values to understand their approach to large-N behavior, confirming theoretical predictions for large N models.

Contribution

It provides a detailed lattice study of topological and confinement properties in CP(N-1) models for multiple N values, including large N regimes.

Findings

Quantitative agreement with large-N predictions for N=20 and N=40.

Analysis of lattice measurement issues for topological susceptibility and string tension.

Demonstrates the approach to large-N asymptotics in CP(N-1) models.

Abstract

We investigate the features of ${\rm CP}^{N-1}$ models concerning confinement and topology. In order to study the approach to the large-$N$ asymptotic regime, we determine the topological susceptibility and the string tension for a wide range of values of $N$, in particular $N=4,10,21,41$. Quantitative agreement with the large-$N$ predictions is found for the ${\rm CP}^{20}$ and the ${\rm CP}^{40}$ models. Problems related to the measure of the topological susceptibility and the string tension on the lattice are discussed.