https://doi.org/10.1051/epjconf/201716403002
A hidden classical symmetry of QCD
Institute of Physics, University of Graz, A-8010 Graz, Austria
* e-mail: leonid.glozman@uni-graz.at
Published online: 5 December 2017
The classical part of the QCD partition function (the integrand) has, ignoring irrelevant exact zero modes of the Dirac operator, a local SU(2NF) ⊃ SU(NF)L × SU(NF)R × U(1)A symmetry which is absent at the Lagrangian level. This symmetry is broken anomalously and spontaneously. Effects of spontaneous breaking of chiral symmetry are contained in the near-zero modes of the Dirac operator. If physics of anomaly is also encoded in the same near-zero modes, then their truncation on the lattice should recover a hidden classical SU(2NF) symmetry in correlators and spectra. This naturally explains observation on the lattice of a large degeneracy of hadrons, that is higher than the SU(NF)L × SU(NF)R × U(1)A chiral symmetry, upon elimination by hands of the lowestlying modes of the Dirac operator. We also discuss an implication of this symmetry for the high temperature QCD.
© The Authors, published by EDP Sciences, 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
