The construction outlined by Henyey [Phys. Rev. D 20, 1460 (1979) https://doi.org/10.1103/PhysRevD.20.1460] 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 < ∞. 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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© 2011 American Institute of Physics.
2011
American Institute of Physics
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