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On the zero modes of the Faddev-Popov operator in the Landau gauge
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On the zero modes of the Faddev-Popov operator in the Landau gauge
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Following Henyey procedure, we construct examples of zero modes of the Faddev-Popov operator in the Landau gauge in Euclidean space in D dimensions, for both SU(2) and SU(3 groups. We consider gauge field configurations $A^a_\mu$ which give rise to a field strength, $F^a_{\mu\nu} =\partial_\mu A^a_\nu -\partial_\nu A^a_\mu + f^{abc}A^b_\mu A^c_\nu$, whose nonlinear term, $ f^{abc}A^b_\mu A^c_\nu$, turns out to be nonvanishing. To our knowledge, this is the first time where such a non-abelian configuration is explicitly obtained in the case of SU(3) in 4D.
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Cited by 1 Pith paper
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Birman-Schwinger Formulation of the Faddeev-Popov Zero-Mode Problem
The first Gribov horizon of a transverse gauge background equals the first appearance of −1 in the spectrum of a normalized Birman-Schwinger operator, via an inertia-preserving congruence rather than a similarity.
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