Lattice QCD Study for Confinement in Hadrons
Abstract
We study three subjects on quark confinement in hadrons in SU(3) lattice QCD. From the accurate lattice calculation for more than 300 different patterns of three-quark (3Q) systems, we find that the static 3Q potential is well described by Y-Ansatz, i.e., the Coulomb plus Y-type linear potential. We also study the multi-quark (4Q, 5Q) potentials in lattice QCD, and find that they are well described by the one-gluon-exchange (OGE) Coulomb plus string-theoretical linear potential, which supports the {\it infrared string picture} even for the multi-quarks. The second subject is a lattice-QCD determination of the relevant gluonic momentum component for confinement. The string tension (confining force) is found to be almost unchanged even after cutting off the high-momentum gluon component above 1.5GeV in the Landau gauge. In fact, {\it quark confinement originates from the low-momentum gluon below about 1.5GeV.} Finally, we consider a possible gauge of QCD for the quark potential model, by investigating "instantaneous inter-quark potential" in generalized Landau gauge, which describes a continuous change from the Landau gauge to the Coulomb gauge.
Cite
@article{arxiv.1103.4015,
title = {Lattice QCD Study for Confinement in Hadrons},
author = {H. Suganuma and T. Iritani and F. Okiharu and T. T. Takahashi and A. Yamamoto},
journal= {arXiv preprint arXiv:1103.4015},
year = {2015}
}