Angular Momentum Decomposition for an Electron
Matthias Burkardt, Hikmat BC
TL;DR
This paper compares different definitions of orbital angular momentum for an electron and a quark in simplified models, highlighting the role of the vector potential in these calculations.
Contribution
It provides a detailed comparison between the Jaffe-Manohar and Ji decompositions of orbital angular momentum in QED and scalar diquark models.
Findings
The orbital angular momentum differs between the two decompositions.
The vector potential significantly affects the orbital angular momentum calculation.
The results clarify the physical interpretation of angular momentum in quantum field theories.
Abstract
We calculate the orbital angular momentum of the `quark' in the scalar diquark model as well as that of the electron in QED (to order ). We compare the orbital angular momentum obtained from the Jaffe-Manohar decomposition to that obtained from the Ji relation and estimate the importance of the vector potential in the definition of orbital angular momentum.
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