Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2011-12-08
PoS QCD-TNT-II 2011:044,2011
Physics
High Energy Physics
High Energy Physics - Lattice
for Proceedings of International Workshop on QCD Green's Functions, Confinement, and Phenomenology, Trento, Sep 5-9, 2011
Scientific paper
We investigate the relevant gluon-momentum region for confinement in lattice QCD on $16^4$ at $\beta$=5.7, 5.8 and 6.0, based on the Fourier expansion. We find that the string tension $\sigma$, 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 low-momentum gluon component below 1.5GeV, which is the upper limit to contribute to $\sigma$. 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 $\gamma^\mu D^\mu$. With this method, we perform a direct analysis of the correlation between confinement and chiral symmetry breaking in lattice QCD on $6^4$ at $\beta$=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.
Gongyo Shinya
Iritani Takumi
Suganuma Hideo
Yamamoto Arata
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