Perturbative matching of continuum and lattice quasi-distributions

Tomomi Ishikawa

doi:10.1051/epjconf/201817506028

Perturbative matching of continuum and lattice quasi-distributions

High Energy Physics - Lattice 2018-04-18 v1 High Energy Physics - Phenomenology Nuclear Theory

Authors: Tomomi Ishikawa

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Abstract

Matching of the quasi parton distribution functions between continuum and lattice is addressed using lattice perturbation theory specifically with Wilson-type fermions. The matching is done for nonlocal quark bilinear operators with a straight Wilson line in a spatial direction. We also investigate operator mixing in the renormalization and possible O(a) operators for the nonlocal operators based on a symmetry argument on lattice.

Keywords

quasi parton distribution functions lattice perturbation theory wilson fermions operator mixing renormalization nonlocal operators

Cite

@article{arxiv.1802.02333,
  title  = {Perturbative matching of continuum and lattice quasi-distributions},
  author = {Tomomi Ishikawa},
  journal= {arXiv preprint arXiv:1802.02333},
  year   = {2018}
}

Comments

8 pages, 2 figures, talk presented at the 35th International Symposium on Lattice Field Theory, 18-24 June 2017, Granada, Spain

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