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

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

2008-03-10

arxiv.org/abs/0803.1378v2

J.Phys.A42:085402,2009

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, 14 figures. v2: version to appear in JPhysA

Scientific paper

10.1088/1751-8113/42/8/085402

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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