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Main Authors: Nair, Sreeraj, Mondal, Chandan, Xu, Siqi, Zhao, Xingbo, Vary, James P.
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2506.07554
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author Nair, Sreeraj
Mondal, Chandan
Xu, Siqi
Zhao, Xingbo
Vary, James P.
author_facet Nair, Sreeraj
Mondal, Chandan
Xu, Siqi
Zhao, Xingbo
Vary, James P.
contents Gravitational form factors (GFFs) of hadrons encode essential information about the internal distributions of mass, spin, pressure, and shear among their quark and gluon constituents. We compute the quark and gluon GFFs of the proton using a fully relativistic, nonperturbative framework based on a light-front quantized Hamiltonian with quantum chromodynamics (QCD) input. This allows us to quantify the impact of a dynamical gluon on the proton's mechanical properties, such as pressure and shear distributions. Our predictions agree well with recent lattice QCD results and experimental extractions. We also determine the proton's mass and mechanical radii and address the long-standing puzzle of its mass decomposition. At the scale $μ^2 = 4~\mathrm{GeV}^2$, we find that quark energy, gluon field energy, the quark condensate, and the QCD trace anomaly contribute $31.5\%$, $34.7\%$, $11.3\%$, and $22.5\%$, respectively, which are consistent with lattice QCD findings.
format Preprint
id arxiv_https___arxiv_org_abs_2506_07554
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Proton Gravitational Structure and Mass Decomposition on the Light Front
Nair, Sreeraj
Mondal, Chandan
Xu, Siqi
Zhao, Xingbo
Vary, James P.
High Energy Physics - Phenomenology
Gravitational form factors (GFFs) of hadrons encode essential information about the internal distributions of mass, spin, pressure, and shear among their quark and gluon constituents. We compute the quark and gluon GFFs of the proton using a fully relativistic, nonperturbative framework based on a light-front quantized Hamiltonian with quantum chromodynamics (QCD) input. This allows us to quantify the impact of a dynamical gluon on the proton's mechanical properties, such as pressure and shear distributions. Our predictions agree well with recent lattice QCD results and experimental extractions. We also determine the proton's mass and mechanical radii and address the long-standing puzzle of its mass decomposition. At the scale $μ^2 = 4~\mathrm{GeV}^2$, we find that quark energy, gluon field energy, the quark condensate, and the QCD trace anomaly contribute $31.5\%$, $34.7\%$, $11.3\%$, and $22.5\%$, respectively, which are consistent with lattice QCD findings.
title Proton Gravitational Structure and Mass Decomposition on the Light Front
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2506.07554