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arXiv · 1106.3944

A few remarks on the zero modes of the Faddeev-Popov operator in the Landau and maximal Abelian gauges

M. S. Guimaraes·S. P. Sorella
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Abstract

The construction outlined by Henyey is employed to provide examples of normalizable zero modes of the Faddeev-Popov operator in the Landau and maximal Abelian gauges in SU(2) Euclidean Yang-Mills theories in d=3 dimensions. The corresponding gauge configurations have all finite norm ||A||^2 < \infty. In particular, in the case of the Landau gauge, the explicit construction of an infinite class of normalizable zero modes with finite norm ||A||^2 is provided.

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M. S. Guimaraes, S. P. Sorella. 2011-09-17. A few remarks on the zero modes of the Faddeev-Popov operator in the Landau and maximal Abelian gauges. https://doi.org/10.1063/1.3641892

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