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Gauge symmetry and background independence: Should the proton spin decomposition be path independent?

2013/06/30 by Cédric Lorcé · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Degrees of freedom (physics and chemistry) #Gauge (firearms) #Gauge symmetry #Gauge theory #Geometry #Independence (probability theory) #Introduction to gauge theory #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Path (computing) #Path integral formulation #Physics #Proton #Proton spin crisis #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Spin (aerodynamics) #Statistics #Symmetry (geometry) #Theoretical physics #hep-ph #nucl-th

paper · pdf · doi:10.1016/j.nuclphysa.2014.01.011

published as Nucl. Phys. A 925C (2014) 1-13 · 10 pages, extended version

arxiv created 2013/12/31 · openalex publication_date 2014/02/04 · arxiv updated 2014/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Exploring the similarities between the Chen et al. approach, where physical and gauge degrees of freedom of the gauge potential are explicitly separated, and the background field method, we provide an alternative point of view to the proton spin decomposition issue. We show in particular that the gauge symmetry can be realized in two different ways, and discuss the relations between the concepts of path dependence, Stueckelberg dependence and background dependence. Finally, we argue that path/Stueckelberg/background-dependent decompositions of the proton spin are in principle measurable and therefore physically meaningful.

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