Leonid Ya. Glozman

Chiral multiplets versus parity doublets in highly excited baryons

It has recently been suggested that the parity doublet structure seen in the spectrum of highly excited baryons may be due to effective chiral restoration for these states. We argue how the idea of chiral symmetry restoration high in the spectrum is consistent with the concept of quark-hadron duality. If chiral symmetry is effectively restored for highly lying states, then the baryons should fall into representations of

DOES ONE OBSERVE CHIRAL SYMMETRY RESTORATION IN BARYON SPECTRUM

{\mathrm{SU}(2)}_{L}\ifmmode\times\else\texttimes\fi{}{\mathrm{SU}(2)}_{R}

Update of the Hagedorn mass spectrum

that are compatible with the given parity of the states\char22{}the parity-chiral multiplets. We classify all possible parity-chiral multiplets: (i)

Excited hadrons on the lattice : Baryons

(1/2,0)\ensuremath{\bigoplus}(0,1/2)

Spatially improved operators for excited hadrons on the lattice

that contain parity doublet for nucleon spectrum, (ii)

Excited nucleons with chirally improved fermions

(3/2,0)\ensuremath{\bigoplus}(0,3/2)

Variational method for lattice spectroscopy with ghosts

consists of the parity doublet for delta spectrum, (iii)

Angular momentum content of the rho meson in lattice QCD.

(1/2,1)\ensuremath{\bigoplus}(1,1/2)

A SIMPLE TOY MODEL FOR EFFECTIVE RESTORATION OF CHIRAL SYMMETRY IN EXCITED HADRONS

contains one parity doublet in the nucleon spectrum and one parity doublet in the delta spectrum of the same spins that are degenerate in mass. Here we show that the available spectroscopic data for nonstrange baryons in the

Masses of excited baryons from chirally improved quenched lattice QCD

\ensuremath{\sim}2 \mathrm{GeV}