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arXiv 1102.0920hep-lat
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SU中广义朗道规范的瞬时夸克间势(3)格点量子色动力学:朗道规范与库仑规范之间的联系

Instantaneous Interquark Potential in Generalized Landau Gauge in SU(3) Lattice QCD: A Linkage between the Landau and the Coulomb Gauges

Takumi Iritani, Hideo Suganuma

摘要:

本文利用SU(3)猝灭的格点量子色动力学,详细研究了广义朗道规范中由时间链变量$U_4$的空间算符定义的“瞬时夸克间势”,这是一个有趣的规范依赖量。瞬时Q $\bar{\rm Q}$势在朗道规范中没有线性部分,在库仑规范中用库仑加线性势表示,其斜率比物理弦张力大2-3倍。利用广义朗道规范,我们发现瞬时势在朗道规范和库仑规范之间是连续的,并且其线性部分在库仑规范附近迅速增长。我们还研究了广义Landau规范中的瞬时3Q势,得到了与Q $\bar{\rm Q}$情形类似的结果.在广义Landau规范下,研究了$T$长度终止的Polyakov线算符及其相应的“有限时间势”.

英文摘要:

We investigate in detail "instantaneous interquark potentials", interesting gauge-dependent quantities defined from the spatial correlators of the temporal link-variable $U_4$, in generalized Landau gauge using SU(3) quenched lattice QCD. The instantaneous Q$\bar{\rm Q}$ potential has no linear part in the Landau gauge, and it is expressed by the Coulomb plus linear potential in the Coulomb gauge, where the slope is 2-3 times larger than the physical string tension. Using the generalized Landau gauge, we find that the instantaneous potential can be continuously described between the Landau and the Coulomb gauges, and its linear part rapidly grows in the neighborhood of the Coulomb gauge. We also investigate the instantaneous 3Q potential in the generalized Landau gauge, and obtain similar results to the Q$\bar{\rm Q}$ case. $T$-length terminated Polyakov-line correlators and their corresponding "finite-time potentials" are also investigated in generalized Landau gauge.

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