Nucleon spin decomposition and differential geometry
arXiv:1411.5953 · doi:10.1103/PhysRevD.91.045014
Abstract
In the last few years, the so-called Chen et al. approach of the nucleon spin decomposition has been widely discussed and elaborated on. In this letter we propose a genuine differential geometric understanding of this approach. We mainly highligth its relation to the "dressing field method" we advocated in [C. Fournel, J. François, S. Lazzarini, T. Masson, Int. J. Geom. Methods Mod. Phys. 11, 1450016 (2014)]. We are led to the conclusion that the claimed gauge-invariance of the Chen et al. decomposition is actually unreal.
9 pages. v3: minor corrections in the text, addition of a new reference
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