A study of the zero modes of the Faddeev-Popov operator in Euclidean Yang-Mills theories in the Landau gauge in d=2,3,4 dimensions
M. A. L. Capri, M. S. Guimaraes, S. P. Sorella, D. G. Tedesco
TL;DR
This paper constructs examples of normalizable zero modes of the Faddeev-Popov operator in SU(2) Euclidean Yang-Mills theories across two, three, and four dimensions, enhancing understanding of gauge fixing ambiguities.
Contribution
It provides explicit constructions of zero modes in different dimensions, offering new insights into the structure of the Faddeev-Popov operator in Yang-Mills theories.
Findings
Explicit zero modes constructed in 2, 3, and 4 dimensions.
Demonstrates the existence of normalizable zero modes.
Contributes to understanding gauge fixing ambiguities in Yang-Mills theories.
Abstract
Examples of normalizable zero modes of the Faddeev-Popov operator in SU(2) Euclidean Yang-Mills theories in the Landau gauge are constructed in d=2,3,4 dimensions.
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