The nucleon magnetic moment in the epsilon-regime of HBChPT

TL;DR

This paper calculates the nucleon magnetic moment in the epsilon-regime of Heavy Baryon Chiral Perturbation Theory, enabling more accurate extraction of low energy constants from lattice QCD with electromagnetic effects.

Contribution

It introduces a method using collective variables to incorporate nonperturbative pion zero modes in the epsilon-regime, advancing theoretical tools for lattice QCD analyses.

Findings

Derived the nucleon magnetic moment to order epsilon^3 in the epsilon-regime.

Developed a framework to include charge-carrying zero mode pion fields.

Facilitated systematic extraction of low energy coefficients from lattice QCD data.

Abstract

The nucleon magnetic moment is calculated in the epsilon-regime of Heavy Baryon Chiral Perturbation Theory to order epsilon^3, using the method of collective variables to integrate nonperturbative pion zero modes. Contributions containing multiple sources of zero modes enter, allowing for charge-carrying zero mode pion fields that connect the sources. The result of this calculation will allow for lattice QCD calculations involving nucleons to systematically extract the leading low energy coefficients of Heavy Baryon Chiral Perturbation Theory with electromagnetic interactions.