Mechanical Properties of the Proton from a Deformed AdS Holographic Model

TL;DR

This paper uses a deformed AdS holographic model to compute the gravitational form factors and mechanical properties of the proton, achieving good agreement with lattice QCD and providing insights into internal forces and distributions.

Contribution

It introduces a deformed AdS holographic approach to evaluate proton gravitational form factors and mechanical properties, including pressure, shear, and radii, with numerical results consistent with lattice QCD.

Findings

Good agreement with lattice QCD results for form factors

Computed pressure and shear distributions consistent with stability conditions

Determined proton radii from internal distribution analyses

Abstract

We study the gravitational form factors of the proton and some of its mechanical properties. We use a holographic model based on the AdS/CFT correspondence, in which a deformation in the anti-de Sitter background geometry is considered. By describing the proton as a Dirac field in this background, we numerically evaluate the gloun contribution of its gravitational form factors $A$ and $C$ from its energy-momentum tensor. A comparison of our numerical results with respect to some lattice QCD results and previous results in holography is made. In general, a good agreement is found. We also evaluate the term $D$ and make use of it to compute the pressure and shear distributions in the system, which result in a stable composed particle interpretation consistent with the von Laue stability condition. The energy distribution in the system is also obtained. Internal forces are investigated to support this picture. We are also able to compute the radii associated with these distributions in the proton.