$\eta^\prime$ meson mass from topological charge density correlator in QCD
Abstract
The flavor-singlet component of the eta prime meson is related to the topological structure of the SU(3) gauge field through the chiral anomaly. We perform a 2+1-flavor lattice QCD calculation and demonstrate that the two-point function of a gluonically defined topological charge density after a short Yang-Mills gradient flow contains the propagation of the eta prime meson, by showing that its mass in the chiral and continuum limit is consistent with the experimental value. The gluonic correlator does not suffer from the contamination of the pion contribution, and the clean signal is obtained at significantly lower numerical cost compared to the conventional method with the quark bilinear operators.
Keywords
Cite
@article{arxiv.1509.00944,
title = {$\eta^\prime$ meson mass from topological charge density correlator in QCD},
author = {JLQCD collaboration and H. Fukaya and S. Aoki and G. Cossu and S. Hashimoto and T. Kaneko and J. Noaki},
journal= {arXiv preprint arXiv:1509.00944},
year = {2015}
}
Comments
11pages, 5figures, minor corrections, to appear in PRD