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

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

2011-06-20

arxiv.org/abs/1106.3944v3

Physics

High Energy Physics

High Energy Physics - Theory

9 pages. Extended discussion in the conclusions. Version accepted for publication in the J. Math. Phys

Scientific paper

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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