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arXiv · 1309.4043

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
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Abstract

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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M. A. L. Capri, M. S. Guimaraes, V. E. R. Lemes, S. P. Sorella, D. G. Tedesco. 2013-09-16. Study of the zero modes of the Faddeev-Popov operator in the maximal Abelian gauge. https://doi.org/10.1016/j.aop.2014.02.016

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