arXiv 1002.23742010-02hep-lathep-phhep-th

精化Gribov-Zwanziger形式和朗道规范中胶子凝聚$\braket{A^2}$的间接晶格证据

Indirect lattice evidence for the Refined Gribov-Zwanziger formalism and the gluon condensate $\braket{A^2}$ in the Landau gauge

D. Dudal, O. Oliveira, N. Vandersickel

备注：: 17 pages, 10 figures, updated version, accepted for publication in Phs.Rev.D
发表信息：: Phys.Rev.D81:074505,2010
DOI：: 10.1103/PhysRevD.81.074505

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摘要：

在纯SU（3）Yang-Mills规范理论的情况下，考虑了不同晶格尺寸和间距下的胶子传播子$D(p^2)$，并采用Landau规范固定.我们讨论了一类适合在红外区域，以（中）验证树级分析预测（精炼）Gribov-Zwanziger框架。事实证明，广泛研究的二维胶子凝聚体$\braket{A^2}$的存在起着重要的作用。包括这种效应允许获得一个可接受的拟合高达1 <$1.5 GeV，同时证实了精化Gribov-Zwanziger预测的胶子传播。我们还讨论了无限体积外推，导致估计$D(0)=8.3\pm0.5\text{GeV}^{-2}$。作为副产品，我们还可以提供在重整化标度$μ=10\text{GeV}$下获得的预测$\braket{g^2 A^2}\approx 3\text{GeV}^2$。

英文摘要：

We consider the gluon propagator $D(p^2)$ at various lattice sizes and spacings in the case of pure SU(3) Yang-Mills gauge theories using the Landau gauge fixing. We discuss a class of fits in the infrared region in order to (in)validate the tree level analytical prediction in terms of the (Refined) Gribov-Zwanziger framework. It turns out that an important role is played by the presence of the widely studied dimension two gluon condensate $\braket{A^2}$. Including this effect allows to obtain an acceptable fit up to 1 á 1.5 GeV, while corroborating the Refined Gribov-Zwanziger prediction for the gluon propagator. We also discuss the infinite volume extrapolation, leading to the estimate $D(0)=8.3\pm0.5\text{GeV}^{-2}$. As a byproduct, we can also provide the prediction $\braket{g^2 A^2}\approx 3\text{GeV}^2$ obtained at the renormalization scale $μ=10\text{GeV}$.

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