走向致密体边界：从微观原理出发的中子星约束
Toward the CompactHedron: Bounds on Neutron Stars from Microscopic Principles
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中文总结 AI 辅助
本文从因果性、正定性和被动性等微观原理出发，在点粒子有效场论中推导潮汐Love数的约束，并应用于中子星，为从基本原理约束致密天体奠定基础。
中文摘要 AI 辅助
我们研究了因果性和正定性对引力物体潮汐Love数的含义。我们在点粒子有效场论框架内工作，其中Love数对应于由曲率张量及其导数构造的算符的Wilson系数。为简单起见，我们聚焦于四极引力电扇区，它提供了潮汐形变性的主要贡献。我们表明，要求潮汐响应是延迟的且在高频下衰减，再加上被动性的假设，会导致对Love数的非平凡约束。这些约束界定了有效理论参数空间中的一个允许区域，并适用于任何局域物体。特别地，我们研究了它们对中子星的应用。我们针对一组代表性的多方和表格化中子星状态方程，计算了频率展开至四阶的动态Love数，并表明在低致密性区域，这些约束转化为对恒星第一振荡模式的限制。重要的是，这些约束在概念上独立于文献中通常施加的稳定性和热力学条件。虽然我们的重点主要在于保守系统，但我们也讨论了在存在耗散时约束如何修改。我们的结果为从基本原理推导致密物体约束的系统框架奠定了基础。
英文摘要
We investigate the implications of causality and positivity for the tidal Love numbers of gravitating objects. We work within the framework of point-particle effective field theory, where the Love numbers correspond to the Wilson coefficients of operators constructed from the curvature tensor and its derivatives. For simplicity, we focus on the quadrupolar gravito-electric sector, which provides the leading contribution to tidal deformability. We show that requiring the tidal response to be retarded and to decay at high frequencies, together with the assumption of passivity, leads to nontrivial bounds on the Love numbers. These bounds delineate an allowed region in the parameter space of the effective theory and apply to any localized object. In particular, we study their application to neutron stars. We compute the dynamical Love numbers through fourth order in the frequency expansion for a representative set of polytropic and tabulated neutron-star equations of state and show that, in the low-compactness regime, the bounds translate into constraints on the first oscillation mode of the star. Importantly, these constraints are conceptually independent of the stability and thermodynamic conditions commonly imposed in the literature. While our focus is primarily on conservative systems, we also discuss how the bounds are modified in the presence of dissipation. Our results lay the ground for a systematic framework to derive bounds on compact objects from fundamental principles.
发表机构
- Université Paris Cité（巴黎西岱大学）
- CNRS, Astroparticule et Cosmologie（法国国家科学研究中心，粒子与宇宙学）
- Institut für Theoretische Physik, ETH Zürich（苏黎世联邦理工学院理论物理研究所）
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