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Description
Light-front quantization focuses on a particular type of modes in full QCD, the soft and collinear modes in a pre-selected direction, which are useful to describe the quark and gluon structure of the hadrons traveling at the speed of light in the direction. The standard approach to obtain the Hamiltonian and Feynman rule is to take the infinite momentum limit before imposing a UV cut-off, a methodology adopted frequently in effective field theories. This arrives at the beautiful and simple language of partons but generates considerable difficulty in renormalization of the theory, which mixes both IR and UV physics. Large-momentum effective theory may provide an alternative to light-front quantization which keeps the feature but fixes the difficult.
