Accuracy of Auxiliary Field Approach for Baryons

TL;DR

This paper evaluates the accuracy of the auxiliary field formalism in deriving the Effective Hamiltonian for baryons by comparing it with solutions from the Salpeter equation, estimating systematic uncertainties.

Contribution

It provides a systematic comparison between the auxiliary field approach and the Salpeter equation for baryons, assessing the formalism's accuracy.

Findings

Auxiliary field formalism closely matches Salpeter solutions

Estimate of systematic uncertainty due to auxiliary field method

Validation of the auxiliary field approach for baryon studies

Abstract

We provide a check of the accuracy of the auxiliary field formalism used to derive the Effective Hamiltonian for baryons in the Field Correlator Method. To this end we compare the solutions for the Effective Hamiltonian with those obtained from the solution of the Salpeter equation. Comparing these results gives a first estimate of the systematic uncertainty due to the use of the auxiliary field formalism for baryons.