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

TL;DR

This paper applies light-front holographic QCD to compute flavor-dependent entanglement entropy in the Veneziano limit, revealing quantum correlations in QCD phases and near phase transitions, with implications for heavy-ion collision experiments.

Contribution

It extends LFHQCD with a flavor-modified dilaton potential and computes flavor-specific entanglement entropy, providing new insights into QCD quantum structure and phase transitions.

Findings

Calculated entanglement entropy as a function of flavor, temperature, and chemical potential.

Revealed flavor-driven entanglement asymmetries near confinement/deconfinement transitions.

Benchmarked results against lattice QCD and linked to heavy-ion collision observables.

Abstract

We introduce a novel application of light-front holographic QCD (LFHQCD) to compute the flavor-dependent entanglement entropy of QCD subsystems in the Veneziano limit ($N_c, N_f \to \infty$, $\lambda = N_f / N_c$ fixed), probing quantum correlations in confined and quark-gluon plasma (QGP) phases. Our model extends the soft-wall LFHQCD framework with a lattice-constrained, flavor-modified dilaton potential, $\phi(z) = \kappa^2 z^2 + \lambda \phi_f(z)$, and flavor-specific scalar fields to capture distinct light and heavy quark contributions. Using a Ryu-Takayanagi-like prescription adapted to light-front coordinates, we calculate the entanglement entropy $S_A$ for spatial and flavor subsystems as a function of $\lambda$, temperature $T$, and chemical potential $\mu$. The approach leverages LFHQCD's real-time dynamics to reveal flavor-driven entanglement asymmetries, particularly near confinement/deconfinement transitions. Results are benchmarked against lattice QCD data and linked to heavy-ion collision observables, such as multiplicity fluctuations and two-particle correlations at RHIC and LHC. This work pioneers the study of quantum information in LFHQCD, offering unique insights into QCD's quantum structure and testable predictions for QGP dynamics, distinct from existing holographic models.