Quark and gluon entanglement in the proton based on a light-front Hamiltonian

Fuente: arXiv
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Auteurs principaux: Qian, Chen, Xu, Siqi, Yang, Yang-Guang, Zhao, Xingbo
Format: Preprint
Publié: 2024
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author Qian, Chen
Xu, Siqi
Yang, Yang-Guang
Zhao, Xingbo
author_facet Qian, Chen
Xu, Siqi
Yang, Yang-Guang
Zhao, Xingbo
contents Given that the wave function of a proton can be derived relativistically and nonperturbatively from a light-front quantized Hamiltonian, investigating the quantum correlation between quarks and gluons offers a novel perspective on the internal structure of partons within a proton. In this work, we address this topic by computing the spin and longitudinal momentum entanglement of each parton inside the proton. The utilized wave functions are generated using Basis Light-front Quantization (BLFQ), incorporating both the valence quarks and one dynamical gluon Fock sectors, $\left|qqq\right\rangle$ and $\left|qqq\right\rangle +\left|qqqg\right\rangle$. Our calculations indicate that the dynamical gluon significantly enhances entanglement among the proton's partons. Additionally, we examine the spin entanglement of quarks and gluons at fixed values of longitudinal momentum fraction, revealing that the presence of a gluon may amplify the informational exchanges between quarks. Finally, these findings suggest the potential for experimental verification of the entanglement between partons by measuring parton helicity distributions in the proton.
format Preprint
id arxiv_https___arxiv_org_abs_2412_11860
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Quark and gluon entanglement in the proton based on a light-front Hamiltonian
Qian, Chen
Xu, Siqi
Yang, Yang-Guang
Zhao, Xingbo
High Energy Physics - Phenomenology
Quantum Physics
Given that the wave function of a proton can be derived relativistically and nonperturbatively from a light-front quantized Hamiltonian, investigating the quantum correlation between quarks and gluons offers a novel perspective on the internal structure of partons within a proton. In this work, we address this topic by computing the spin and longitudinal momentum entanglement of each parton inside the proton. The utilized wave functions are generated using Basis Light-front Quantization (BLFQ), incorporating both the valence quarks and one dynamical gluon Fock sectors, $\left|qqq\right\rangle$ and $\left|qqq\right\rangle +\left|qqqg\right\rangle$. Our calculations indicate that the dynamical gluon significantly enhances entanglement among the proton's partons. Additionally, we examine the spin entanglement of quarks and gluons at fixed values of longitudinal momentum fraction, revealing that the presence of a gluon may amplify the informational exchanges between quarks. Finally, these findings suggest the potential for experimental verification of the entanglement between partons by measuring parton helicity distributions in the proton.
title Quark and gluon entanglement in the proton based on a light-front Hamiltonian
topic High Energy Physics - Phenomenology
Quantum Physics
url https://arxiv.org/abs/2412.11860