arXiv 0812.32682008-12-17hep-lat

格点Landau规范的强耦合极限

The strong-coupling limit of lattice Landau gauge

Andre Sternbeck, Lorenz von Smekal

备注：: 5 pages, talk presented at the 8th Conference Quark Confinement and the Hadron Spectrum, September 1-6, 2008, Mainz, Germany
发表信息：: PoS Confinement8:049, 2008

摘要：

本文报道了我们最近在强耦合极限下对纯SU（2）最小格点朗道规范的胶子和鬼传播子的研究。在这个限制，我们发现这些传播的共形红外行为的证据预测功能连续方法。然而，在强耦合极限下，当晶格动量a^2q^2>1（单位为晶格间距a）时，就会发生这种情况。当a^2q^2<1时，与共形标度的偏差可以用横胶子质量很好地参数化。对规范势的各种格点定义（在连续极限下都是等价的）进行比较，可以发现：（a）临界指数和耦合都可以从强耦合极限下的高动量数据中明确地提取出来，这与连续极限的预言很好地吻合;但另一方面，（b）有质量的分支依赖于格点胶子场的定义，因此没有明确的定义。我们证明，这种模糊性也存在于低动量区域的常用值的晶格耦合SU（2）。

英文摘要：

We report on our recent study of the gluon and ghost propagators of pure SU(2) minimal lattice Landau gauge in the strong-coupling limit. In this limit, we find evidence of the conformal infrared behaviour of these propagators as predicted by functional continuum methods. However, in the strong-coupling limit this happens for lattice momenta with a^2q^2>1, in units of the lattice spacing a. Deviations from conformal scaling for a^2q^2<1 are well parameterised by a transverse gluon mass. A comparison of various lattice definitions of gauge potentials, all equivalent in the continuum limit, shows that (a) both the critical exponent and coupling can be extracted unambiguously from the high-momentum data in the strong-coupling limit, in good agreement with the continuum predictions; but that on the other hand (b) the massive branch depends on the definition of lattice gluon fields and is thus not unambiguously defined. We demonstrate that this ambiguity is also present in the low-momentum region for commonly used values of the lattice coupling in SU(2).

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