$U_A$(1) Anomaly in Background Fields Dominated by QCD-Monopoles on SU(2) Lattice
High Energy Physics - Lattice
2008-02-03 v2
Abstract
We study (1) anomaly of non-perturbative QCD in the maximally abelian gauge on SU(2) lattice. The existence of the strong correlation between QCD-monopoles and instantons in the abelian gauge is shown by both analytic and numerical works including lattice simulations. These results bring us a conjecture that the (1) symmetry would be explicitly broken in the background fields dominated by QCD-monopoles. We find an evidence for our conjecture by measuring the chiral-asymmetric zero modes of the Dirac operator in the backgrounds of QCD-monopoles.
Keywords
Cite
@article{arxiv.hep-lat/9706001,
title = {$U_A$(1) Anomaly in Background Fields Dominated by QCD-Monopoles on SU(2) Lattice},
author = {Shoichi Sasaki and Osamu Miyamura},
journal= {arXiv preprint arXiv:hep-lat/9706001},
year = {2008}
}
Comments
17 pages, revtex, 19 postscript figures included