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arXiv 0912.4475hep-lat
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SU(2)格点胶子传播子:连续极限、有限体积效应和红外质量标度m_IR

SU(2) lattice gluon propagator: continuum limit, finite-volume effects and infrared mass scale m_IR

V. G. Bornyakov, V. K. Mitrjushkin, M. Müller-Preussker

摘要:

我们研究了SU(2)Landau规范胶子传播子在格点上的标度行为、有限体积效应和Gribov拷贝依赖性。我们的物理晶格尺寸范围从$(3.0 \mathrm{fm})^4$到$(7.3 \mathrm{fm})^4$。考虑晶格间距减小但物理体积固定的晶格,我们确认(非微扰)乘法重整化和{ \it连续极限}的方法重整化胶子传播子$D_{ren}(p)$在动量$|p| \ageq 0.6$ GeV >。有限体积效应和Gribov复制效应在该区域的影响很小。相反,在更深的红外线,我们发现Gribov复制影响强烈和有限体积效应,这仍然需要特别注意。胶子传播子似乎与动量为$|p| \aleq 0.6$ GeV的简单类极行为$\sim (p^2+m_g^2)^{-1}$不一致。相反,高斯型拟合在该区域中工作得非常好。从它的宽度-对于物理体积$(5.0 \mathrm{fm})^4$ -我们估计相应的红外(质量)尺度为$m_\mathrm{IR} \sim 0.7 $ GeV。

英文摘要:

We study the scaling behavior and finite (physical) volume effects as well as the Gribov copy dependence of the SU(2) Landau gauge gluon propagator on the lattice. Our physical lattice sizes range from $(3.0 \mathrm{fm})^4$ to $(7.3 \mathrm{fm})^4$. Considering lattices with decreasing lattice spacing but fixed physical volume we confirm (non-perturbative) multiplicative renormalizability and the approach to the {\it continuum limit} for the renormalized gluon propagator $D_{ren}(p)$ at momenta $|p| \ageq 0.6$ GeV >. The finite-volume effects and Gribov copy influence turn out small in this region. On the contrary, in the deeper infrared we found the Gribov copy influence strong and finite-volume effects, which still require special attention. The gluon propagator does not seem to be consistent with a simple pole-like behavior $\sim (p^2+m_g^2)^{-1}$ for momenta $|p| \aleq 0.6$ GeV. Instead, a Gaussian-type fit works very well in this region. From its width - for a physical volume $(5.0 \mathrm{fm})^4$ - we estimate a corresponding infrared (mass) scale to be $m_\mathrm{IR} \sim 0.7 $ GeV.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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