Implications of Color Gauge Symmetry For Nucleon Spin Structure

Details Implications of Color Gauge Symmetry For Nucleon Spin Structure Implications of Color Gauge Symmetry For Nucleon Spin Structure

1998-08-11

arxiv.org/abs/hep-ph/9808305v2

Phys.Rev. D59 (1999) 074010

Physics

High Energy Physics

High Energy Physics - Phenomenology

Minor corrections are made in the text

Scientific paper

10.1103/PhysRevD.59.074010

We study the chromodynamical gauge symmetry in relation to the internal spin structure of the nucleon. We show that 1) even in the helicity eigenstates the gauge-dependent spin and orbital angular momentum operators do not have gauge-independent matrix element; 2) the evolution equations for the gluon spin take very different forms in the Feynman and axial gauges, but yield the same leading behavior in the asymptotic limit; 3) the complete evolution of the gauge-dependent orbital angular momenta appears intractable in the light-cone gauge. We define a new gluon orbital angular momentum distribution $L_g(x)$ which {\it is} an experimental observable and has a simple scale evolution. However, its physical interpretation makes sense only in the light-cone gauge just like the gluon helicity distribution $\Delta g(x)$y.

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