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

IF 1.2 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Few-Body Systems Pub Date : 2026-05-12 DOI:10.1007/s00601-026-02045-8

Fidele J. Twagirayezu

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引用次数: 0

Abstract

We develop a wavefunction-based framework to compute flavor-resolved quantum-information measures in light-front holographic QCD (LFHQCD). A Veneziano-inspired control parameter \(\lambda \equiv N_f/N_c\) 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 \(X_f(z)\) dual to \(\langle \bar{q}_f q_f\rangle ,\) 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 \(\mu \) through phenomenological crossover functions.

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光前全息QCD中Veneziano极限中风味相关的纠缠熵

我们开发了一个基于波函数的框架来计算光前全息QCD （LFHQCD）中风味分辨量子信息的测量。veneziano启发的控制参数\(\lambda \equiv N_f/N_c\)用于调节光前有效势的现象学风味区变形的强度，同时保持通用软壁背景固定。风味依赖通过大量标量配置文件\(X_f(z)\)对偶到\(\langle \bar{q}_f q_f\rangle ,\)进行编码，其二次不变量在光前势中提供了额外的局部项。通过在离散的横向/全息晶格上构造约简密度矩阵，计算von Neumann和r尼伊熵，以及不相交的横向区域之间的互信息，直接从归一化光前波函数定义纠缠诊断。我们实现并比较了分解自旋基线和相关自旋改进结构，以量化跟踪对自旋自由度的影响。由此产生的装置在LFHQCD波函数、由Veneziano标度引起的风味相关变形、有限温度T下的量子信息观测和化学势\(\mu \)之间通过现象学交叉函数提供了透明的桥梁。

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来源期刊

Few-Body Systems 物理-物理：综合

CiteScore

2.90

自引率

18.80%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal Few-Body Systems presents original research work – experimental, theoretical and computational – investigating the behavior of any classical or quantum system consisting of a small number of well-defined constituent structures. The focus is on the research methods, properties, and results characteristic of few-body systems. Examples of few-body systems range from few-quark states, light nuclear and hadronic systems; few-electron atomic systems and small molecules; and specific systems in condensed matter and surface physics (such as quantum dots and highly correlated trapped systems), up to and including large-scale celestial structures. Systems for which an equivalent one-body description is available or can be designed, and large systems for which specific many-body methods are needed are outside the scope of the journal. The journal is devoted to the publication of all aspects of few-body systems research and applications. While concentrating on few-body systems well-suited to rigorous solutions, the journal also encourages interdisciplinary contributions that foster common approaches and insights, introduce and benchmark the use of novel tools (e.g. machine learning) and develop relevant applications (e.g. few-body aspects in quantum technologies).