Study of the zero modes of the Faddeev-Popov operator in the maximal Abelian gauge
arXiv:1309.4043 · doi:10.1016/j.aop.2014.02.016
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.
17 pages
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Cited by in corpus (7)
- More on the non-perturbative Gribov-Zwanziger quantization of linear covariant gauges
- Gribov horizon and non-perturbative BRST symmetry in the maximal Abelian gauge
- On bounds and boundary conditions in the continuum Landau gauge
- Non-perturbative BRST quantization of Euclidean Yang-Mills theories in Curci-Ferrari gauges
- Yang-Mills theory in the maximal Abelian gauge in presence of scalar matter fields
- Hints of (de)confinement in Yang-Mills-Chern-Simons theories in the maximal Abelian gauge
- On the renormalization of a generalized supersymmetric version of the maximal Abelian gauge