$SU(4)$-Ward identities for QCD with restored chiral symmetry
High Energy Physics - Phenomenology
2017-12-27 v2 High Energy Physics - Lattice
High Energy Physics - Theory
Abstract
Lattice studies of QCD at temperatures above the chiral restoration and QCD with truncated low modes of the Dirac operator indicate approximate and explicit degeneracies in hadron spectra, respectively. At the same time, the QCD classical action and the path integral measure are not invariant under . Here we investigate transformations in the continuum limit by deriving corresponding Ward identities. We show that, if there is a gap in low-lying modes of the Dirac operator the obtained Ward identities are simplified and look like they would be if symmetry is preserved. Then, we discuss possible consequences for the quark matter at high temperatures.
Keywords
Cite
@article{arxiv.1712.00454,
title = {$SU(4)$-Ward identities for QCD with restored chiral symmetry},
author = {Vasily Sazonov},
journal= {arXiv preprint arXiv:1712.00454},
year = {2017}
}