Spectral sum for the color-Coulomb potential in SU(3) Coulomb gauge lattice Yang-Mills theory

被引：8
|
作者：
Nakagawa, Y. [1 ]
Nakamura, A. [1 ]
Saito, T. [2 ]
Toki, H. [3 ]
机构：
[1] Hiroshima Univ, Res Inst Informat Sci & Educ, Hiroshima 7398521, Japan
[2] Kochi Univ, Integrated Informat Ctr, Kochi 7808520, Japan
[3] Osaka Univ, Nucl Phys Res Ctr, Osaka 5670047, Japan
来源：
PHYSICAL REVIEW D | 2010年 / 81卷 / 05期
关键词：
CONFINEMENT; LIMIT;
D O I：
10.1103/PhysRevD.81.054509
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We discuss the essential role of the low-lying eigenmodes of the Faddeev-Popov (FP) ghost operator on the confining color-Coulomb potential using SU(3) quenched lattice simulations in the Coulomb gauge. The color-Coulomb potential is expressed as a spectral sum of the FP ghost operator and has been explored by partially summing the FP eigenmodes. We take into account the Gribov copy effects that have a great impact on the FP eigenvalues and the color-Coulomb potential. We observe that the lowest eigenvalue vanishes in the thermodynamic limit much faster than that in the Landau gauge. The color-Coulomb potential at large distances is governed by the near-zero FP eigenmodes; in particular, the lowest one accounts for a substantial portion of the color-Coulomb string tension comparable to the Wilson string tension.
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页数：11
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