朗道规范QCD中的视界函数--从网络QCD的观点看自由边界情形
Horizon function in Landau gauge QCD revisited -- Free boundary case from viewpoint of network QCD --
摘要：
在色禁闭的Gribov-Zwanziger方案中，Zwanziger提出了格点Landau规范中的两种视界函数，并详细讨论了第一种和第二种视界函数的基础。第二类视界函数是本文研究的重点。沿着Zwanziger线简要地评述了它的推导过程和视界条件，并评述了视界条件和Kugo-Ojima色禁闭判据在连续极限内的一致性。在自由边界条件下，与周期边界条件相比，证明了视界条件对朗道规范中的每个规范固定组态都成立。阐明了这一事实可以从朗道规范中任意链环网络上的某种恒等关系导出。从而突出了视界条件逐点有效性的根源。
英文摘要：
In Gribov-Zwanziger scenario of color confinement, Zwanziger proposed two types of horizon function in lattice Landau gauge, the first one and the second one of which foundation was discussed in detail. The second type horizon function is focussed on in the present study. Its derivation and the horizon condition are briefly reviewed along the line of Zwanziger, and it is also reviewed that this horizon condition and Kugo-Ojima color confinement criterion coincide in the continuum limit. In case of free boundary condition in contrast to periodic boundary condition, it was shown that the horizon condition holds for each gauge fixed configuration in Landau gauge. It is clarified that this fact can be derived from some identity relation which holds on an arbitrary network of links in Landau gauge. Thus the origin of the pointwise validity of horizon condition is highlighted.
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