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arXiv · hep-ph/9306299

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

Keh-Fei Liu·Shao-Jing Dong
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Abstract

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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Keh-Fei Liu, Shao-Jing Dong. 1993-06-21. Origin of Difference between $\overline{d}$ and $\overline{u}$ Partons in the Nucleon. https://doi.org/10.1103/physrevlett.72.1790

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