出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：We investigate the relevant gluon-momentum region for confinement in lattice QCD on 164 at b =5.7, 5.8 and 6.0, based on the Fourier expansion. We find that the string tension s , i.e., the confining force, is almost unchanged even after removing the high-momentum gluon component above 1.5GeV in the Landau gauge. In fact, the confinement property originates from the lowmomentum gluon component below 1.5GeV, which is the upper limit to contribute to s . In the relevant region, smaller gluon momentum component is more important for confinement. Next, we develop a manifestly gauge-covariant expansion of the QCD operator such as the Wilson loop, using the eigen-mode of the QCD Dirac operator D/ =g mDm . With this method, we perform a direct analysis of the correlation between confinement and chiral symmetry breaking in lattice QCD on 64 at b =5.6. As a remarkable fact, the confinement force is almost unchanged even after removing the low-lying Dirac modes, which are responsible to chiral symmetry breaking. This indicates that one-to-one correspondence does not hold for between confinement and chiral symmetry breaking in QCD.
