Relativistic quantum invariance plays prominent roles in the study of quantum
field theories, typically QED and QCD. We utilize the idea of interpolating the
instant form dynamics (IFD) and the light-front dynamics (LFD) to realize the
relativistic quantum invariance of QED and QCD. Reviewing the connection
between LFD and IFD using the idea of interpolating the two different forms of
the relativistic dynamics, one can learn the distinguished features of each form
and how one may utilize those distinguished features in solving the complicate
relativistic quantum field theoretic problems more effectively. In this talk, I will
present a mass gap solution of the 1+1D QCD in the large Nc limit known as the
‘tHooft model to discuss a link between QCD and the Light-Front Quark Model
(LFQM) and highlight the utility of interpolation in the computation of the parton
distribution function (PDF) for the study of hadron structures.