Speaker
Description
In the Hamiltonian formulation of QCD one faces many challenges. One of them is the fact that the Hilbert space is rich in structure with subspaces of varying number of particles and interactions that can easily change the number of particles. Another challenge lies in its singular interactions that need renormalization. I will talk about basis light front quantization (BLFQ) as a framework that is useful in dealing with the complexity of QCD Hilbert space and about renormalization group procedure for effective particles (RGPEP) as a method of obtaining renormalized Hamiltonians of QCD. Together, the two methods provide a tool for solving QCD. I will describe each method, highlight their strengths and limitations, argue how they can aid each other, and present the progress in combining them in a calculation of meson spectra.
