Study of the zero modes of the Faddeev-Popov operator in the maximal Abelian gauge

D. G. Tedesco; M. A. L. Capri; M. S. Guimaraes; S. P. Sorella; V. E. R. Lemes

arxiv: 1309.4043 · v1 · pith:KC4RCHKAnew · submitted 2013-09-16 · ✦ hep-th

Study of the zero modes of the Faddeev-Popov operator in the maximal Abelian gauge

M. A. L. Capri , M. S. Guimaraes , V. E. R. Lemes , S. P. Sorella , D. G. Tedesco This is my paper

classification ✦ hep-th

keywords gaugemodeszeroabelianeuclideanfaddeev-popovfinitemaximal

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A study of the zero modes of the Faddeev-Popov operator in the maximal Abelian gauge is presented in the case of the gauge group SU(2) and for different Euclidean space-time dimensions. Explicit examples of classes of normalizable zero modes and corresponding gauge field configurations are constructed by taking into account two boundary conditions, namely: i) the finite Euclidean Yang-Mills action, ii) the finite Hilbert norm.

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Study of the zero modes of the Faddeev-Popov operator in the maximal Abelian gauge

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