<p>We develop a wavefunction-based framework to compute flavor-resolved quantum-information measures in light-front holographic QCD (LFHQCD). A Veneziano-inspired control parameter <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$\lambda \equiv N_f/N_c$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>λ</mi> <mo>≡</mo> <msub> <mi>N</mi> <mi>f</mi> </msub> <mo stretchy="false">/</mo> <msub> <mi>N</mi> <mi>c</mi> </msub> </mrow> </math></EquationSource> </InlineEquation> is used to modulate the strength of a phenomenological flavor-sector deformation of the light-front effective potential while keeping the universal soft-wall background fixed. Flavor dependence is encoded through bulk scalar profiles <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$X_f(z)$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>X</mi> <mi>f</mi> </msub> <mrow> <mo stretchy="false">(</mo> <mi>z</mi> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation> dual to <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$\langle \bar{q}_f q_f\rangle ,$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">⟨</mo> <msub> <mover accent="true"> <mrow> <mi>q</mi> </mrow> <mrow> <mo stretchy="false">¯</mo> </mrow> </mover> <mi>f</mi> </msub> <msub> <mi>q</mi> <mi>f</mi> </msub> <mo stretchy="false">⟩</mo> <mo>,</mo> </mrow> </math></EquationSource> </InlineEquation> whose quadratic invariant contributes an additional local term in the light-front potential. Entanglement diagnostics are defined directly from normalized light-front wavefunctions by constructing reduced density matrices on a discretized transverse/holographic lattice and evaluating von Neumann and Rényi entropies, as well as mutual information between disjoint transverse regions. We implement and compare a factorized-spin baseline and a correlated spin-improved construction to quantify the impact of tracing over spin degrees of freedom. The resulting setup provides a transparent bridge between LFHQCD wavefunctions, flavor-dependent deformations motivated by Veneziano scaling, and quantum-information observables at finite temperature <i>T</i> and chemical potential <InlineEquation ID="IEq4"> <EquationSource Format="TEX">$\mu $</EquationSource> <EquationSource Format="MATHML"><math> <mi>μ</mi> </math></EquationSource> </InlineEquation> through phenomenological crossover functions.</p>

Flavor-Dependent Entanglement Entropy in the Veneziano Limit from Light-Front Holographic QCD

期刊论文
发表日期：

2026年5月12日

查看全文

Fidele J. Twagirayezu

摘要

We develop a wavefunction-based framework to compute flavor-resolved quantum-information measures in light-front holographic QCD (LFHQCD). A Veneziano-inspired control parameter $\lambda \equiv N_f/N_c$ $λ \equiv N_{f} / N_{c}$ is used to modulate the strength of a phenomenological flavor-sector deformation of the light-front effective potential while keeping the universal soft-wall background fixed. Flavor dependence is encoded through bulk scalar profiles $X_f(z)$ $X_{f} (z)$ dual to $\langle \bar{q}_f q_f\rangle ,$ $⟨ {\bar{q}}_{f} q_{f} ⟩,$ whose quadratic invariant contributes an additional local term in the light-front potential. Entanglement diagnostics are defined directly from normalized light-front wavefunctions by constructing reduced density matrices on a discretized transverse/holographic lattice and evaluating von Neumann and Rényi entropies, as well as mutual information between disjoint transverse regions. We implement and compare a factorized-spin baseline and a correlated spin-improved construction to quantify the impact of tracing over spin degrees of freedom. The resulting setup provides a transparent bridge between LFHQCD wavefunctions, flavor-dependent deformations motivated by Veneziano scaling, and quantum-information observables at finite temperature T and chemical potential $\mu $ $μ$ through phenomenological crossover functions.