A complete non-perturbative renormalization prescription for quasi-PDFs

@article{Alexandrou2017ACN,
  title={A complete non-perturbative renormalization prescription for quasi-PDFs},
  author={Constantia Alexandrou and Krzysztof Cichy and Martha Constantinou and K. Hadjiyiannakou and Karl Jansen and H. Panagopoulos and Fernanda Steffens},
  journal={Nuclear Physics},
  year={2017},
  volume={923},
  pages={394-415}
}

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Perturbative Renormalization of quasi-PDFs

In this paper we present results for the renormalization of gauge invariant nonlocal fermion operators which contain a Wilson line, to one-loop level in lattice perturbation theory. Our calculations

Perturbative renormalization of quasi-parton distribution functions

In this paper we present results for the renormalization of gauge invariant nonlocal fermion operators which contain a Wilson line, to one-loop level in lattice perturbation theory. Our calculations

Nonperturbative renormalization of nonlocal quark bilinears for quasi-PDFs on the lattice using an auxiliary field

Quasi-PDFs provide a path toward an ab initio calculation of parton distribution functions (PDFs) using lattice QCD. One of the problems faced in calculations of quasi-PDFs is the renormalization of

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Nonperturbative Renormalization of Nonlocal Quark Bilinears for Parton Quasidistribution Functions on the Lattice Using an Auxiliary Field.

TLDR
This approach shows how to understand the pattern of mixing that is allowed by chiral symmetry breaking and obtain a master formula for renormalizing the nonlocal operator that depends on three parameters and presents an approach for nonperturbatively determining these parameters and use perturbation theory to convert to the modified minimal subtraction scheme.

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