Introduction to Basis Light-Front Quantization Approach to QCD Bound State Problems

Abstract

Basis Light-Front Quantized Field Theory (BLFQ) is an $\text{ab intio}$ Hamiltonian approach that adopts light-cone gauge, light-front quantization and state-of-the-art many-body methods to solve non-perturbative quantum field theory problems. By a suitable choice of basis, BLFQ retains the underlying symmetries to the extent allowed within light-front coordinates. In this talk, we outline the scheme for applying BLFQ to QCD bound state problems. We adopt a 2D Harmonic Oscillator with 1D plane wave basis that corresponds to the AdS/QCD soft-wall solution. Exact treatment of the symmetries will be discussed.

Comments: 10 pages, 4 figures, proceeding of the International Conference on Nuclear Theory in the Supercomputing Era 2013