Gluon skewed generalized parton distributions of proton from a light-front Hamiltonian approach

TL;DR

This paper computes gluon generalized parton distributions inside the proton using a light-front Hamiltonian approach, revealing diffraction patterns in the distributions that align with theoretical expectations.

Contribution

It introduces a novel calculation of gluon GPDs at nonzero skewness using basis light-front quantization with QCD inputs, providing new insights into their structure.

Findings

GPDs exhibit diffraction patterns in $\sigma$-space.

Results are consistent with other theoretical models.

Provides a detailed light-front wave function framework.

Abstract

We calculate all leading-twist gluon generalized parton distributions (GPDs) inside the proton at nonzero skewness using the basis light-front quantization framework. The proton's light-front wave functions are derived from a light-front quantized Hamiltonian incorporating Quantum Chromodynamics inputs. Our results show that the qualitative behaviors of the GPDs are consistent with those from other theoretical calculations. Additionally, we analyze the GPDs in the boost-invariant longitudinal coordinate, $\sigma=\frac{1}{2} b^- P^+$, which serves as the Fourier conjugate of the skewness. The GPDs in $\sigma$-space exhibit diffraction patterns, reminiscent of optical wave diffraction.