arXiv subjects
Publications and source records attributed to David K. Griegel.
Standard QCD sum-rule analyses of the nucleon mass give results that are inconsistent with chiral perturbation theory due to an overly simple continuum ansatz on the phenomenological side of the sum rule. We show that a careful treatment of the continuum, including $π$-$N$ states and other states with virtual pions, resolves the inconsistency associated with chiral logs.
QCD sum rules are useful tools for studying the spectral properties of hadrons; however, assumptions underlying standard sum-rule analyses can lead to inconsistencies with known results of chiral perturbation theory. This possibility is demonstrated with QCD sum-rule extractions of the nucleon mass and $σ$ term. In both cases, inconsistent chiral behavior leads to an uncertainty in the sum-rule predictions of $\sim 100\,\text{MeV}$.