Covariance constraints for light front wave functions

TL;DR

This paper investigates the limitations of light front wave functions in modeling complex parton distributions due to covariance constraints and proposes a method to address these issues for two-body systems.

Contribution

It introduces a framework to incorporate covariance constraints into two-body light front wave functions, enabling more accurate modeling of generalized parton distributions.

Findings

Identifies covariance constraints as key limitations in LFWF models.

Proposes a method to incorporate these constraints for two-body systems.

Enhances the modeling capabilities of LFWFs for complex parton distributions.

Abstract

Light front wave functions (LFWFs) are often utilized to model parton distributions and form factors where their transverse and longitudinal momenta are tied to each other in some manner that is often guided by convenience. On the other hand, the cross talk of transverse and longitudinal momenta is governed by Poincar\'e symmetry and thus popular LFWF models are often not usable to model more intricate quantities such as generalized parton distributions. In this contribution a closer look to this issue is given and it is shown how to overcome the issue for two--body LFWFs.