Parton Physics on a Euclidean Lattice

I show that the parton physics related to correlations of quarks and gluons on the light cone can be studied through the matrix elements of frame-dependent, equal-time correlators in the large momentum limit. This observation allows practical calculations of parton properties on a Euclidean lattice. As an example, I demonstrate how to recover the leading-twist quark distribution by boosting an equal-time correlator to a large momentum.

Figure 1

One-loop correction to the parton distribution in Eq. (7) in $A^z=0$ gauge.