RI/MOM renormalization of the parton quasidistribution functions in lattice regularization
نویسندگان
چکیده
We analyze the lattice spacing dependence for pion unpolarized matrix element of a quark bilinear operator with Wilson link (parton quasidistribution functions operator, quasi-PDFs) in rest frame, using 13 spacings ranging from 0.032 to 0.121 fm. compare results three different fermion actions or without good chiral symmetry on dynamical gauge ensembles collaborations. This investigation is motivated by fact that generates $1/a$ divergence, cancellation which many ratios can be numerically tricky. Indeed, our show this deteriorates decreasing spacing, and RI/MOM method leaves linearly divergent residue quasi-PDFs. also Landau interaction between external state linear divergence depends discretized action.
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ژورنال
عنوان ژورنال: Physical review
سال: 2021
ISSN: ['0556-2813', '1538-4497', '1089-490X']
DOI: https://doi.org/10.1103/physrevd.104.074501