发表机构
Institute of Quantum Physics, School of Physics, Central South University; Institute of High Energy Physics, Chinese Academy of Sciences; School of Physics, University of Chinese Academy of Sciences; School of Physics, Xi’an Jiaotong University（中南大学物理学院量子物理研究所; 中国科学院高能物理研究所; 中国科学院大学物理学院; 西安交通大学物理学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究膜局域带电黑洞自发标量化中量子增强快子不稳定性的作用，通过数值求解耦合方程构建黑洞解并分析稳定性，建立参数空间相图，发现量子增强不稳定性可提高临界温度促进标量化。
AI 中文摘要
我们研究膜局域带电黑洞的自发标量化，重点关注量子增强的快子不稳定性的作用。通过在爱因斯坦 - 德图尔克形式体系内数值求解耦合的体 - 膜方程，构建完全反作用的静态黑洞解，并将系统从半经典极限映射到强耦合量子主导区域。我们证明由κ参数化的全息量子效应显著改变背景几何。通过有效势诊断和准正则模计算进行的稳定性分析证实，这种几何变形加深了有效势的负阱，从而引发快子不稳定性。整合这些结果，我们建立了\(T_h/\mu - \kappa\)参数空间中自发标量化的全局相图。结果表明，这些量子增强的不稳定性通过大幅提高临界温度促进标量化，为量子效应在黑洞毛发形成上提供了清晰的定量特征。
英文摘要
We investigate the spontaneous scalarization of brane-localized charged black holes, focusing on the role of quantum-enhanced tachyonic instabilities. By solving the coupled bulk-brane equations numerically within the Einstein-DeTurck formulation, we construct fully backreacted static black hole solutions and map the system from the semi-classical limit to the strongly coupled quantum-dominated regime. We demonstrate that the holographic quantum effects, parameterized by $κ$, significantly modify the background geometry. Stability analysis, conducted via both effective potential diagnostics and quasinormal mode calculations, confirms that this geometric deformation deepens the negative well of the effective potential, thereby triggering a tachyonic instability. Integrating these results, we establish the global phase diagram of spontaneous scalarization in the $T_h/μ-κ$ parameter space. The results reveal that these quantum-enhanced instabilities promote scalarization by substantially raising the critical temperature, providing a clear quantitative signature of quantum effects on black hole hair formation.
