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arXiv 0803.1378hep-th
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三维Yang-Mills规范理论的规范不变红外稳定化

A gauge invariant infrared stabilization of 3D Yang-Mills gauge theories

D. Dudal, J. A. Gracey, S. P. Sorella, N. Vandersickel, H. Verschelde

备注：
16 pages, 14 figures. v2: version to appear in JPhysA
发表信息：
J.Phys.A42:085402,2009
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摘要：

我们表明，反演方法可以是一个非常有用的工具，在提供一个红外稳定的三维规范理论，结合质量算子$A^2$在朗道规范。数值结果将是明确的，因为相应的理论是紫外有限的维正则化，使重整化尺度或计划过时。通过表明非局部规范不变算子$A^2_{\min}$（在朗道规范中简化为$A^2$）可以在3D中处理，从这个意义上说，它在任何规范中都可以进行幂次计数重正化，从而认为所提出的框架是规范不变的。作为一个推论，我们的分析，我们能够确定一整套的powercounting可重正化的非本地运营商的二维。

英文摘要：

We demonstrate that the inversion method can be a very useful tool in providing an infrared stabilization of 3D gauge theories, in combination with the mass operator $A^2$ in the Landau gauge. The numerical results will be unambiguous, since the corresponding theory is ultraviolet finite in dimensional regularization, making a renormalization scale or scheme obsolete. The proposed framework is argued to be gauge invariant, by showing that the nonlocal gauge invariant operator $A^2_{\min}$, which reduces to $A^2$ in the Landau gauge, could be treated in 3D, in the sense that it is power counting renormalizable in any gauge. As a corollary of our analysis, we are able to identify a whole set of powercounting renormalizable nonlocal operators of dimension two.

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