Bailing is a 7th year graduate student. Her research is on the interpolation between the equal time and light-front quantization methods. The aim of doing interpolation between the two forms of dynamics is to study in more detail some aspects of the light-front quantization method, for example, the importance of zero mode contribution in the light-front formulation. Quantum Electrodynamics (QED) has been developed in the interpolation form. The next step is to apply the same idea of interpolation to Quantum Chromodynamics(QCD).
QCD has the feature of asymtotic freedom in the short distance scale, and confinement in the long distances. The mechanism of confinement has been a mystery to physicists because it is intrinsically a non-perturbative problem, which cannot be solved by doing loop expansions in Feynman diagrams. In fact, one of the seven millennium problems, to prove the existence of a mass gap in the quantum Yang-Mills theory for any compact simple gauge group, has to do with confinement.
By studying some 1+1 dimensional models, e.g. 't Hooft model, Schwinger model, or Thirring model, we connect the two distinct views of equal time and light-front quantization, especially on some non-perturbative aspects, such as solitons and instantons, thus pave the road for a better understanding of the 3+1 dimensional QCD in terms of the light-front dynamics, as well as the instant form dynamics.