Low lying eigenmodes and meson propagator symmetries

Abstract

In situations where the low lying eigenmodes of the Dirac operator are suppressed one observed degeneracies of some meson masses. Based on these results a hidden symmetry was conjectured, which is not a symmetry of the Lagrangian but emerges in the quantization process. We show here how the difference between classes of meson propagators is governed by the low modes and shrinks when they disappear.

9 pages, 3 figures; final version, accepted at Phys.Rev.D

References in corpus (7)

• Microscopic Origin of \boldmath{$U_A(1)$} Symmetry Violation in the High Temperature Phase of QCD
• Symmetries of hadrons after unbreaking the chiral symmetry
• Isoscalar mesons upon unbreaking of chiral symmetry
• SU(4) symmetry of the dynamical QCD string and genesis of hadron spectra
• Can axial U(1) anomaly disappear at high temperature?
• Evidence for a new $SU(4)$ symmetry with $J=2$ mesons
• Exploring a new SU(4) symmetry of meson interpolators

Cited by in corpus (6)

• Study of the axial U(1) anomaly at high temperature with lattice chiral fermions
• Chiral spin symmetry and hot/dense QCD
• Baryon parity doublets and chiralspin symmetry
• Chiral-spin symmetry emergence in baryons and eigenmodes of the Dirac operator
• Symmetry of screening masses of mesons in two-flavor lattice QCD at high temperatures
• Gap in the Dirac spectrum and quark propagator symmetries in lattice QCD