动力学Barbero–Immirzi场与 quintessence 耦合：引力波传播约束及下一代探测器预测
Dynamical Barbero--Immirzi field coupled to quintessence: gravitational-wave propagation constraints and next-generation forecasts
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中文总结 AI 辅助
本研究首次利用GW数据同时约束与 quintessence 耦合的动力学BI场的两个参数，结合GWTC-3数据获得约束，预测下一代探测器可大幅提升精度，为相关引力理论提供观测途径。
中文摘要 AI 辅助
我们研究与 quintessence 标量场 φ 耦合的动力学Barbero–Immirzi（BI）场 γ(x) 对引力波（GW）传播的印记。在Einstein–Cartan–Holst引力框架下，将 γ 提升为动力学标量会引入反作用于度规的应力-能量，从而修改GW摩擦项。BI场与 quintessence 间的最小耦合 ∝βφ²γ² 构成了Belgacem–Maggiore参数化的两参数扩展，特征为 ξBI（源自孤立BI场）和 ξcp（源自耦合）。本研究首次利用GW数据同时约束这两个参数。我们推导了耦合系统中修正的GW传播方程，并识别出独特的红移依赖关系：耦合诱导项的增长快于孤立BI项，为打破简并提供了途径。利用LIGO–Virgo–KAGRA的GWTC-3暗信号约束 Ξ₀=1.2⁺⁰·⁷₋₀·⁷，我们获得了首个同时约束结果：在90%可信度下，|ξBI|≲0.7且|ξcp|≲0.13。随后我们预测了下一代探测器Einstein Telescope（ET）和Cosmic Explorer（CE）的灵敏度，结果显示10年观测 campaign 可将这些约束提升两个数量级，达到 σ(ξBI)∼3×10⁻² 和 σ(ξcp)∼1.2×10⁻²。转化为微观参数，这对应 γ_dyn≲10⁻¹² 和 β≲10⁻³，为量子引力现象学与暗能量的相互作用提供了强有力的新观测窗口。我们的结果表明，GW传播为探测动力学BI场及其与暗 sector 的耦合提供了有前景的途径，对圈量子引力和修正引力理论具有重要意义。
英文摘要
We investigate the imprints of a dynamical Barbero--Immirzi (BI) field $γ(x)$ coupled to a quintessence scalar field $ϕ$ on gravitational-wave (GW) propagation. In the framework of Einstein--Cartan--Holst gravity, promoting $γ$ to a dynamical scalar introduces a stress--energy that back-reacts on the metric, modifying the GW friction term. A minimal coupling $\proptoβ\,ϕ^2γ^2$ between the BI field and quintessence leads to a two-parameter extension of the Belgacem--Maggiore parametrization, characterized by $\xBI$ (from the isolated BI field) and $\xcp$ (from the coupling). Using the LIGO--Virgo--KAGRA GWTC-3 dark-siren constraint $Ξ_0=1.2^{+0.7}_{-0.7}$, we obtain the first simultaneous constraints: $|\xBI|\lesssim0.7$ and $|\xcp|\lesssim0.13$ at 90\% credibility. We then forecast the sensitivity of next-generation detectors Einstein Telescope (ET) and Cosmic Explorer (CE), showing that a 10-year observation campaign can improve these bounds by roughly one to two orders of magnitude depending on the parameter---a factor of $\sim\!20$ for $\xBI$ and $\sim\!20$ for $\xcp$---reaching $σ(\xBI)\sim3\times10^{-2}$ and $σ(\xcp)\sim1.2\times10^{-2}$. Translated into microscopic parameters, this corresponds to $γ_{\rm dyn}\lesssim10^{-12}$ and $β\lesssim10^{-3}$, providing a powerful new observational window into the interplay between quantum-gravity phenomenology and dark energy.
