On Monday, Oct. 7, at 9 a.m., Yi-Bo Yang of the Beijing Institute of Theoretical Physics will present “Continuum Limit of Non-Local Quark-Bilinear Lattice Operators” via Zoom.
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Abstract: We investigate the continuum limit of some non-local quark-blinear lattice operators that are interesting in computing parton physics for several measurements using five lattice spacings ranging from 0.032 fm to 0.121 fm. Although all of the approaches are consistent with the perturbative results at short distances up to the discretization error, they can be significantly different at long distances due to introduction of spurious infrared physics in regularization independent momentum subtraction (RI/MOM) and similar schemes. Our results also show that gauge dependent non-local measurements are significantly more sensitive to the precision of gauge fixing than anticipated. The impact of imprecise gauge fixing is significant for fine lattices and long distances. For instance, even with the typically defined precision of Landau gauge fixing of 10-8, the deviation caused by imprecise gauge fixing can reach 12% when calculating the trace of Wilson lines at 1.2 fm with a lattice spacing of approximately 0.03 fm.