Speaker
Description
As is well known, it is difficult to compute quantities defined on the light-front in a lattice approach, since the light-front dynamics is strictly in the Minkowski space, while the lattice formulation is in the Euclidean space. I will introduce a method to connect the light-front dynamics (LFD) to the ordinary instant form dynamics (IFD), which is called the interpolation method. By having an angle parameter called the interpo- lation angle, denoted as δ, which runs between 0◦ and 45◦, we can unify the IFD and LFD formalisms into one. Letting δ → 0 gets back to the IFD, and properties of the LFD are recovered by letting δ → π/4. The light-front zero mode issues can be examined by studying the limit of δ → π/4. In this talk, I will present the quasi-PDFs in ’t Hooft model (large Nc QCD in 1+1 space-time dimensions), obtained by solving the Bethe-Salpeter equation numerically in a general interpolation form. I will compare the results of letting δ get close to π/4, versus boosting to a large momentum in the instant form.
