Perturbation theory for O(3) topological charge correlators

TL;DR

This paper computes the one-loop perturbative two-point correlation function of the topological charge density in the 2D O(3) model to verify positivity constraints, confirming they are satisfied at this order.

Contribution

It provides the first perturbative check of positivity conditions for topological charge correlators in the 2D O(3) model.

Findings

Positivity requirements are fulfilled at one-loop level.

Supports the consistency of the theoretical framework.

Provides groundwork for non-perturbative studies.

Abstract

To check the consistency of positivity requirements for the two-point correlation function of the topological charge density, which were identified in a previous paper, we are computing perturbatively this two-point correlation function in the two-dimensional O(3) model. We find that at the one-loop level these requirements are fulfilled.