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arXiv · 1212.4098

On the zero modes of the Faddev-Popov operator in the Landau gauge

R. R. Landim·L. C. Q. Vilar·O. S. Ventura·V. E. R. Lemes
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Abstract

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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R. R. Landim, L. C. Q. Vilar, O. S. Ventura, V. E. R. Lemes. 2012-12-17. On the zero modes of the Faddev-Popov operator in the Landau gauge. https://arxiv.org/abs/1212.4098

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