English

Nucleon spin decomposition and differential geometry

High Energy Physics - Theory 2015-03-05 v3

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. Fran\c{c}ois, 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.

Cite

@article{arxiv.1411.5953,
  title  = {Nucleon spin decomposition and differential geometry},
  author = {Jordan François and Serge Lazzarini and Thierry Masson},
  journal= {arXiv preprint arXiv:1411.5953},
  year   = {2015}
}

Comments

9 pages. v3: minor corrections in the text, addition of a new reference

R2 v1 2026-06-22T07:07:42.111Z