Effects of the low lying Dirac modes on excited hadrons in lattice QCD
L. Ya. Glozman, C. B. Lang, M. Schr\"ock
TL;DR
This study investigates how removing low lying Dirac eigenmodes impacts the masses of ground and excited hadron states in lattice QCD, shedding light on the role of chiral symmetry breaking.
Contribution
It introduces a systematic analysis of the effects of low lying Dirac modes removal on hadron spectra in lattice QCD, highlighting their influence on excited states.
Findings
Removal of low lying modes alters hadron mass spectra
Chiral symmetry breaking effects are linked to low eigenmodes
Excited states are more sensitive to mode removal
Abstract
Chiral symmetry breaking in Quantum Chromodynamics is associated with the low lying spectral modes of the Dirac operator according to the Banks-Casher relation. Here we study how removal of a variable number of low lying modes from the valence quark sector affects the masses of the ground states and first excited states of baryons and mesons in two flavor lattice QCD.
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