The 't Hooft determinant resolution of the eta' puzzle
Abstract
The six-quark instanton induced 't Hooft interaction, which breaks the unwanted U_A(1) symmetry of QCD, is also a sourse of semi-classical corrections to the low energy effective action. It is argued that there emerges a dimensionless expansion parameter that introduces a new mass scale, Lambda_E^2=6 GeV^2, in the 0^-, 0^+ channels. This scale plays a similar role as the large critical mass M^2_crit > 4.2-6.6 GeV^2 discovered in the framework of QCD sum rules in the 0^-, 0^+ gluonic channels. In particular, it allows to resolve the eta' puzzle. To extract Lambda_E we calculate the masses of the lightest pseudoscalar meson nonet by using the Nambu --Jona-Lasinio (NJL) type U_L(3)X U_R(3) chiral symmetric Lagrangian together with the 't Hooft determinant. The mechanism which leads to the large value of Lambda_E is scrutinized.
Cite
@article{arxiv.hep-ph/0410148,
title = {The 't Hooft determinant resolution of the eta' puzzle},
author = {Alexander A. Osipov and Alex H. Blin and Brigitte Hiller},
journal= {arXiv preprint arXiv:hep-ph/0410148},
year = {2007}
}
Comments
12 pages, LaTeX