Chiral symmetry breaking, entanglement, and the nucleon spin decomposition

Abstract

The nucleon is naturally viewed as a bipartite system of valence spin -- defined by its non-vanishing chiral charge -- and non-valence or sea spin. The sea spin can be traced over to give a reduced density matrix, and it is shown that the resulting entanglement entropy acts as an order parameter of chiral symmetry breaking in the nucleon. In the large-$N_c$ limit, the entanglement entropy vanishes and the valence spin accounts for all of the nucleon spin, while in the limit of maximal entanglement entropy, the nucleon loses memory of the valence spin and consequently has spin dominated by the sea. The nucleon state vector in the chiral basis, fit to low-energy data, gives a valence spin content consistent with experiment and lattice QCD determinations, and has large entanglement entropy.

arXiv comment6 pages, 3 figures

References in corpus (17)

• Unraveling hadron structure with generalized parton distributions
• Hadronic Spectra and Light-Front Wavefunctions in Holographic QCD
• The 1/N Expansion for Baryons
• Baryon-Pion Couplings from Large-N QCD
• First simultaneous extraction of spin-dependent parton distributions and fragmentation functions from a global QCD analysis
• Deep inelastic scattering as a probe of entanglement
• Entanglement Suppression and Emergent Symmetries of Strong Interactions
• The nucleon spin and momentum decomposition using lattice QCD simulations
• The Spin Structure of the Nucleon
• Quark spins and Anomalous Ward Identity
• Three-Quark Light-Cone Amplitudes of The Proton And Quark-Orbital-Motion Dependent Observables
• Counting Rule for Hadronic Light-Cone Wave Functions
• Entanglement entropy and entropy production in the Color Glass Condensate framework
• Quark contribution to the proton spin from 2+1+1-flavor lattice QCD
• Classification and Asymptotic Scaling of Hadron Light-Cone Wave-Function Amplitudes
• Broken Chiral Symmetry on a Null Plane
• The Spin Budget of the Proton at NNLO and Beyond

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