Speaker
Prof.
Kehfei Liu
(Lawrence Berkeley National Lab)
Description
It has been taken for granted in lattice formulation that, due to translational invariance, it is not feasible to have a reference point to define the spatial densities of local operators in a hadron. We shall show that, using Ward identity, one can find the positions of valence quarks so that the spatial densities can be defined and calculated. This bypasses the usual practice of obtaining spatial densities from the Fourier transforms of form factors, which have been shown not to be valid due to uncontrolled relativistic effects. We will present lattice results of the pion charge density from both approaches to illustrate the difference.
Author
Prof.
Kehfei Liu
(Lawrence Berkeley National Lab)