Origin of Difference between $\overline{d}$ and $\overline{u}$ Partons in the Nucleon

Details Origin of Difference between $\overline{d}$ and $\overline{u}$ Partons in the Nucleon Origin of Difference between $\overline{d}$ and $\overline{u}$ Partons in the Nucleon

1993-06-21

arxiv.org/abs/hep-ph/9306299v1

Phys.Rev.Lett.72:1790-1793,1994

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 Pages, 5 ps figures included in part 2, UK/93-02

Scientific paper

10.1103/PhysRevLett.72.1790

Using the Euclidean path-integral formulation for the hadronic tensor, we show that the violation of the Gottfried sum rule does not come from the disconnected quark-loop insertion. Rather, it comes from the connected (quark line) insertion involving quarks propagating in the backward time direction. We demonstrate this by studying sum rules in terms of the scalar and axial- vector matrix elements in lattice gauge calculations. The effects of eliminating backward time propagation are presented.

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