
arXiv: 2106.05310
Light-front wave functions play a fundamental role in the light-front quantization approach to QCD and hadron structure. However, a naive implementation of the light-front quantization suffers from various subtleties including the well-known zero-mode problem, the associated rapidity divergences which mixes ultra-violet divergences with infrared physics, as well as breaking of spatial rotational symmetry. We advocate that the light-front quantization should be viewed as an effective theory in which small $k^+$ modes have been effectively ``integrated out'', with an infinite number of renormalization constants. Instead of solving light-front quantized field theories directly, we make the large momentum expansion of the equal-time Euclidean correlation functions in instant quantization as an effective way to systematically calculate light-front correlations, including the light-front wave function amplitudes. This large-momentum effective theory accomplishes an effective light-front quantization through lattice QCD calculations. We demonstrate our approach using an example of a pseudo-scalar meson wave function.
17 pages, 8 figures
Nuclear Theory (nucl-th), High Energy Physics - Phenomenology, High Energy Physics - Lattice, High Energy Physics - Phenomenology (hep-ph), Nuclear Theory, High Energy Physics - Lattice (hep-lat), FOS: Physical sciences, Nuclear Experiment (nucl-ex), Nuclear Experiment
Nuclear Theory (nucl-th), High Energy Physics - Phenomenology, High Energy Physics - Lattice, High Energy Physics - Phenomenology (hep-ph), Nuclear Theory, High Energy Physics - Lattice (hep-lat), FOS: Physical sciences, Nuclear Experiment (nucl-ex), Nuclear Experiment
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