Computing Light-Front Wave Functions Without Light-Front Quantization: A Large-Momentum Effective Theory Approach

Abstract

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

References in corpus (6)

• Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
• Soft Factor Subtraction and Transverse Momentum Dependent Parton Distributions on Lattice
• Soft factors for double parton scattering at NNLO
• The non-triviality of the vacuum in light-front quantization: An elementary treatment
• On Transverse-Momentum Dependent Light-Cone Wave Functions of Light Mesons
• The full four-loop cusp anomalous dimension in $\mathcal{N}=4$ super Yang-Mills and QCD

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