Isoscalar mesons upon unbreaking of chiral symmetry

Abstract

In a dynamical lattice simulation with the overlap Dirac operator and $N_f=2$ mass degenerate quarks we study all possible $J=0$ and $J=1$ correlators upon exclusion of the low lying "quasi-zero" modes from the valence quark propagators. After subtraction of a small amount of such Dirac eigenmodes all disconnected contributions vanish and all possible point-to-point $J=0$ correlators with different quantum numbers become identical, signaling a restoration of the $SU(2{)}_L\times SU(2{)}_R\times U(1{)}_A$. The original ground state of the $\pi$ meson does not survive this truncation, however. In contrast, in the $I=0$ and $I=1$ channels for the $J=1$ correlators the ground states have a very clean exponential decay. All possible chiral multiplets for the $J=1$ mesons become degenerate, indicating a restoration of an $SU(4)$ symmetry of the dynamical QCD-like string.

arXiv comment10 pages, 13 figures

References in corpus (18)

• Exactly massless quarks on the lattice
• On the generalized eigenvalue method for energies and matrix elements in lattice field theory
• Practical all-to-all propagators for lattice QCD
• Finite volume QCD at fixed topological charge
• Restoration of chiral and $U(1{)}_A$ symmetries in excited hadrons
• QCD at Fixed Topology
• Two-flavor QCD simulation with exact chiral symmetry
• Convergence of the chiral expansion in two-flavor lattice QCD
• Symmetries of hadrons after unbreaking the chiral symmetry
• Pion form factors from two-flavor lattice QCD with exact chiral symmetry
• Chiral multiplets of excited mesons
• Topological susceptibility in two-flavor lattice QCD with exact chiral symmetry
• Chiral Multiplets of Hadron Currents
• Unbreaking chiral symmetry
• Symmetries of mesons after unbreaking of chiral symmetry and their string interpretation
• Quark mass effects on the topological susceptibility in QCD
• eta' meson From Two Flavor Dynamical Domain Wall Fermions
• The low-lying Scalar Mesons and Related Topics

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