arXiv 1608.057952016-08hep-lat

格点库仑规范中的Gribov视界和Gribov复制效应

Gribov horizon and Gribov copies effect in lattice Coulomb gauge

Giuseppe Burgio, Markus Quandt, Hugo Reinhardt, Hannes Vogt

备注：: 11 pages, 13 figures. Discussion and conclusions extended, some plots changed. To appear in PRD
发表信息：: Phys. Rev. D 95, 014503 (2017)
DOI：: 10.1103/PhysRevD.95.014503

摘要：

根据Cooper和Zwanziger最近提出的建议，我们通过$SU(2)$晶格模拟研究了选择具有Faddeev-Popov算子的最小非平凡本征值的Gribov副本对库仑规范传播子和Gribov-Zwanziger约束机制的影响，即~最接近格里波夫视界的那颗虽然这种规范的选择驱动鬼传播子对连续计算的预测，我们发现，它实际上超过了目标。随着计算时间的增加，我们观察到可以找到具有任意小本征值的Gribov副本。因此，为了使这种方法有效，需要对规范条件进行进一步的限制，以隔离物理上相关的副本，因为例如~通过Faddeev-Popov算子定义的库仑势$V_C$在其他方面变得物理上无意义。有趣的是，库仑势交替定义通过时间链接的替代者是由本征值的小只有轻微的影响。

英文摘要：

Following a recent proposal by Cooper and Zwanziger we investigate via $SU(2)$ lattice simulations the effect on the Coulomb gauge propagators and on the Gribov-Zwanziger confinement mechanism of selecting the Gribov copy with the smallest non-trivial eigenvalue of the Faddeev-Popov operator, i.e.~the one closest to the Gribov horizon. Although such choice of gauge drives the ghost propagator towards the prediction of continuum calculations, we find that it actually overshoots the goal. With increasing computer time, we observe that Gribov copies with arbitrarily small eigenvalues can be found. For such a method to work one would therefore need further restrictions on the gauge condition to isolate the physically relevant copies, since e.g.~the Coulomb potential $V_C$ defined through the Faddeev-Popov operator becomes otherwise physically meaningless. Interestingly, the Coulomb potential alternatively defined through temporal link correlators is only marginally affected by the smallness of the eigenvalues.

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摘要：

英文摘要：

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