Effects of Low vs. High Fermionic Modes on Hadron Mass Generation

Abstract

A nonvanishing spectral density of the low-lying eigenmodes of the Dirac operator naturally is a signal for dynamical chiral symmetry breaking (D$\chi$SB) via the Banks-Casher relation. The low-lying eigenmodes alone saturate the pseudoscalar channel and the corresponding propagator successfully reproduces the pion mass. In this paper we investigate the effects on the mass generation of hadrons other than pions. The evolution of these masses upon inclusion of an increasing number of the low-lying eigenmodes is confronted with the hadron mass spectrum upon removal of such eigenmodes.