Recent years have witnessed rapid progress in calculating parton distribution functions (PDFs), rather than just their moments, from lattice QCD [1-9]. The most remarkable aspect of such calculations is that one can c...Recent years have witnessed rapid progress in calculating parton distribution functions (PDFs), rather than just their moments, from lattice QCD [1-9]. The most remarkable aspect of such calculations is that one can connect appropriately chosen Euclidean correlation functions calculable on the lattice to PDFs through a perturbative matching relation. This can be understood in the framework of the large-momentum effective theory (LaMET)[10, 11].展开更多
Using symmetry properties, we determine the mixing pattern of a class of nonlocal quark bilinear operators containing a straight Wilson line along a spatial direction.We confirm the previous study that mixing among th...Using symmetry properties, we determine the mixing pattern of a class of nonlocal quark bilinear operators containing a straight Wilson line along a spatial direction.We confirm the previous study that mixing among the lowest dimensional operators, which have a mass dimension equal to three, can occur if chiral symmetry is broken in the lattice action.For higher dimensional operators, we find that the dimension-three operators will always mix with dimension-four operators, even if chiral symmetry is preserved.Also, the number of dimension-four operators involved in the mixing is large, and hence it is impractical to remove the mixing by the improvement procedure.Our result is important for determining the Bjorken-xdependence of the parton distribution functions using the quasi-distribution method on a Euclidean lattice.The requirement of using large hadron momentum in this approach makes the control of errors from dimension-four operators even more important.展开更多
基金supported by the Science and Technology Commission of Shanghai Municipality(Grant No.16DZ2260200)supported by the Department of Energy,Laboratory Directed Research and Development(LDRD)funding of BNL(Grant No.DE-EC0012704)+3 种基金supposed by the US National Science Foundation(Grant No.PHY 1653405)supported by the SFB/TRR-55 Grant “Hadron Physics from Lattice QCD”supported by the National Natural Science Foundation of China(Grant No.11405104)supported by the US Department of Energy,Office of Science,Office of Nuclear Physics,from DE-SC0011090 and within the framework of the TMD Topical Collaboration
文摘Recent years have witnessed rapid progress in calculating parton distribution functions (PDFs), rather than just their moments, from lattice QCD [1-9]. The most remarkable aspect of such calculations is that one can connect appropriately chosen Euclidean correlation functions calculable on the lattice to PDFs through a perturbative matching relation. This can be understood in the framework of the large-momentum effective theory (LaMET)[10, 11].
基金partly supported by the Ministry of Science and Technology(105-2112-M-002-017-MY3)the Kenda Foundation.TI is supported by Science and Technology Commission of Shanghai Municipality(16DZ2260200)+4 种基金supported by the Department of Energy,Laboratory Directed Research and Development(LDRD)funding of BNL(DE-EC0012704)supported by US National Science Foundation(PHY 1653405)supported by the SFB/TRR-55 grant “Hadron Physics from Lattice QCD”a grant from National Science Foundation of China(11405104)supported by the U.S.Department of Energy,Office of Science,Office of Nuclear Physics,from DE-SC0011090 and within the framework of the TMD Topical Collaboration
文摘Using symmetry properties, we determine the mixing pattern of a class of nonlocal quark bilinear operators containing a straight Wilson line along a spatial direction.We confirm the previous study that mixing among the lowest dimensional operators, which have a mass dimension equal to three, can occur if chiral symmetry is broken in the lattice action.For higher dimensional operators, we find that the dimension-three operators will always mix with dimension-four operators, even if chiral symmetry is preserved.Also, the number of dimension-four operators involved in the mixing is large, and hence it is impractical to remove the mixing by the improvement procedure.Our result is important for determining the Bjorken-xdependence of the parton distribution functions using the quasi-distribution method on a Euclidean lattice.The requirement of using large hadron momentum in this approach makes the control of errors from dimension-four operators even more important.
