arXiv 0911.28802009-11-15hep-th

Gribov-Zwanziger视界条件，鬼和胶子传播子及Kugo-Ojima禁闭判据

Gribov-Zwanziger horizon condition, ghost and gluon propagators and Kugo-Ojima confinement criterion

Kei-Ichi Kondo

备注：: 12pages, 1 figure, Presented at International Workshop on QCD Green's Functions, Confinement and Phenomenology, September 7-11, 2009, ECT Trento, Italy
发表信息：: PoS QCD-TNT09:021,2009

摘要：

我们重新审视传统的参数有关的标度和去耦解决方案的鬼和胶子传播的朗道规范杨米尔斯理论。我们指出了在完全非微扰处理中，在这一领域的以往研究中似乎被忽视的几个问题。我们提出了一个技巧，使人们能够将Gribov视界直接纳入规范固定的杨-米尔斯理论中的自洽Schwinger-Dyson方程，使用Gribov-Zwanziger框架与视界项。不管视界项的选择如何，我们得到下列结果。(i)我们发现存在一族由单参数$w_R(0)$参数化的解，该解被隐式假设为零。该系列包括缩放和解耦解决方案，和规格的参数区分它们之间。(ii)我们观察到，列入地平线项取消了紫外线发散的Schwinger-Dyson方程的鬼传播和由此产生的（非微扰）自洽的解决方案成为紫外线有限。换句话说，视界条件介于红外行为和紫外行为之间。这导致了传统的乘性重整化方案与Gribov格式的不相容性

英文摘要：

We reexamine the conventional arguments concerned with the scaling and decoupling solutions for the ghost and gluon propagators in the Landau gauge Yang-Mills theory. We point out a few issues to be clarified, which seems to be overlooked in the previous investigations in this field, in the fully non-perturbative treatment. We propose a trick which enables one to incorporate the Gribov horizon directly into the self-consistent Schwinger-Dyson equation in the gauge-fixed Yang-Mills theory, using the Gribov-Zwanziger framework with the horizon term. We obtain the following results, irrespective of the choice of the horizon term. (i) We find that there exists a family of solutions parameterized by one-parameter $w_R(0)$ which was assumed to be zero implicitly. The family includes both the scaling and decoupling solutions, and specification of the parameter discriminates between them. (ii) We observe that the inclusion of the horizon term cancels the ultraviolet divergence in the Schwinger-Dyson equation for the ghost propagator and the resulting (non-perturbative) self-consistent solution becomes ultraviolet finite. In other words, the horizon condition interpolates between the infrared behavior and the ultraviolet one. This leads to the incompatibility of the conventional multiplicative renormalization scheme with the Gribov

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