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arXiv · 1912.06056

UV divergence of the quasi-PDF operator under the lattice regularization

Yikai Huo·Peng Sun
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Abstract

Even since the "quasi" parton distribution function (PDF) was proposed under the large-momentum effective theory (LaMET) framework, its renormalization under the lattice regularization has been a central challenge to be solved due to the linear divergence. Thus, we investigate several possible ways to renormalize the quasi-PDF operators in high accuracy with non-perturbative calculation using the quench configurations at several lattice spacings. We find that the ratio of the UV divergences obtained from the Wilson loop and off-shell quasi-PDF operator is not a constant of the Wilson link length $z$. Although the linear divergence in them may be consistent to each other numerically, there is some additional UV divergence in the quasi-PDF operator.

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Yikai Huo, Peng Sun. 2019-12-12. UV divergence of the quasi-PDF operator under the lattice regularization. https://arxiv.org/abs/1912.06056

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