Universality of Generalized Parton Distributions in Light-Front Holographic QCD

Area of Science:

• High Energy Physics
• Quantum Chromodynamics
• Hadron Spectroscopy

Background:

• Generalized Parton Distributions (GPDs) are crucial for understanding hadron structure.
• Existing models often struggle to simultaneously satisfy Regge behavior and counting rules.
• Light-front holographic QCD offers a novel framework for hadron structure calculations.

Purpose of the Study:

• To determine the structure of GPDs using light-front holographic QCD.
• To incorporate Regge behavior at small x and inclusive counting rules at x→1.
• To connect the derived GPDs with established theoretical models like the Veneziano model.

Main Methods:

• Utilizing light-front holographic quantum chromodynamics (QCD) to model GPDs.
• Introducing a universal reparametrization function w(x) with a single parameter.
• Comparing the model's predictions with global fits for nucleon and pion quark distributions.

Main Results:

• A precise description of nucleon and pion quark distribution functions was achieved.
• The reparametrization function w(x) successfully incorporates both small-x Regge behavior and large-x counting rules.
• The analytic structure of the amplitudes revealed a connection to the Veneziano model.

Conclusions:

• The developed model provides a consistent framework for GPDs within light-front holographic QCD.
• This approach establishes a non-trivial link between Regge theory, the Veneziano model, and hadron spectrum.
• The findings offer a path towards a more unified understanding of hadron structure.