A comparative study of overlap and staggered fermions in QCD
S. D\"urr, Ch. Hoelbling, U. Wenger
TL;DR
This study compares the infrared properties of overlap and staggered fermions in QCD, revealing that improved staggered operators exhibit near-degeneracy consistent with overlap operators, aiding in zero mode identification.
Contribution
It demonstrates the quantitative agreement of infrared spectra between improved staggered and overlap fermions and links zero modes to topological indices.
Findings
Infrared spectrum of improved staggered fermions matches overlap fermions.
Near-degeneracy allows identification of zero modes.
Zero mode count aligns with topological index.
Abstract
We perform a comparative study of the infrared properties of overlap and staggered fermions in QCD. We observe that the infrared spectrum of the APE/HYP improved staggered Dirac operator develops a four-fold near-degeneracy and is in quantitative agreement with the infrared spectrum of the overlap operator. The near-degeneracy allows us to identify the zero modes of the staggered operator and we find that the number of zero modes is in line with the topological index of the overlap operator.
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