Paper

{
  "raw_xml": "<entry>\n    <id>http://arxiv.org/abs/2603.03064v1</id>\n    <title>Radius-Flow Entanglement in Hadron States and Gravitational Form Factors</title>\n    <updated>2026-03-03T15:03:21Z</updated>\n    <link href='https://arxiv.org/abs/2603.03064v1' rel='alternate' type='text/html'/>\n    <link href='https://arxiv.org/pdf/2603.03064v1' rel='related' title='pdf' type='application/pdf'/>\n    <summary>We propose a lattice-ready entanglement observable for QCD hadrons: the vacuum-subtracted radius flow of the ball Rényi entropy, $\\mathfrak{s}_n(R;h)\\equiv R\\,\\partial_RΔS_n(B_R;h)$, defined via the Euclidean replica cut-and-glue construction in a rest-frame momentum-projected one-hadron state, with spin averaging performed at the level of the final flow. In the continuum, varying $R$ at fixed shape is equivalent to a Weyl rescaling, so the flow is trace selected and admits a surface-plus-remainder organization on the entangling sphere. We use this to formulate a lattice stability test of boundary dominance: fit the measured flow on local $R$ windows to a low-curvature remainder plus a small template basis built from hadronic gravitational form factors (GFFs). The two endpoint templates are the spin-0/trace shape $\\mathfrak{t}_h^{(0)}(R)=R^3ρ_S(R)$ constructed from $A^S(t)$ and a spin-2/TT proxy $\\mathfrak{t}_h^{(2)}(R)=R^3ρ_A(R)$ constructed from $A(t)$, together with the mixed family $\\mathfrak{t}_h^{\\rm mix}(R;c_0,c_2)=c_0\\mathfrak{t}_h^{(0)}(R)+c_2\\mathfrak{t}_h^{(2)}(R)$. A soft-wall AdS/QCD appendix shows that the pole-subtracted integrated trace--energy correlator closes on this same $\\{A^S,A\\}$ basis and supplies a model-dependent benchmark ratio for $c_0/c_2$; for lattice comparison the coefficients are left free and extracted from data. For representative nucleon dipole inputs, the pure endpoints predict distinct single-extremum scales, $R_{\\rm EE}^{(0)}\\sim0.84~\\mathrm{fm}$ and $R_{\\rm EE}^{(2)}\\sim0.43~\\mathrm{fm}$, enabling discrimination among scalar control, spin-2 control, and genuine mixing through the turning-point location, the sign change of the slope across it, and the fitted ratio of template weights.</summary>\n    <category scheme='http://arxiv.org/schemas/atom' term='hep-ph'/>\n    <category scheme='http://arxiv.org/schemas/atom' term='hep-lat'/>\n    <category scheme='http://arxiv.org/schemas/atom' term='hep-th'/>\n    <category scheme='http://arxiv.org/schemas/atom' term='nucl-th'/>\n    <published>2026-03-03T15:03:21Z</published>\n    <arxiv:comment>35 pages (including appendix), 12 figures</arxiv:comment>\n    <arxiv:primary_category term='hep-ph'/>\n    <author>\n      <name>Kiminad A. Mamo</name>\n    </author>\n  </entry>"
}