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从核多体关联到能量探测器关联函数

From Nuclear Many-Body Correlations to Energy Detector Correlators

João Barata, Giuliano Giacalone

arXiv 2609.18754首次发表:更新:

发表机构

Theoretical Physics Department, CERN(CERN理论物理部)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

该论文提出利用渐近能量流构建的探测器关联函数,系统匹配相对论核碰撞中初始核态与末态粒子间的长波长关联,建立可改进的形式体系。

AI 中文摘要

相对论性核碰撞为研究核基态中的多体关联开辟了实验舞台。然而,初始态关联与对撞机上测得的末态多粒子观测量之间的联系,尚未被系统地表述为一个可逐步改进的匹配问题。我们证明,由渐近能量流构建的探测器关联函数为实现这种构造提供了自然框架。具体而言,我们将渐近能量流表示为早期应力张量的泛函,并将其按适当模式展开,从而在领头阶恢复熟悉的线性流体动力学关系。随后,受小-$x$ QCD启发,我们将探测器关联函数的角投影映射到碰撞核中计算的多极算子关联函数。由此,我们建立了一个系统化的形式体系,用于匹配高能强子碰撞中入射与出射QCD态之间的长波长关联。

英文摘要

Relativistic nuclear collisions have opened an experimental arena for studying many-body correlations in nuclear ground states. However, the connection between initial-state correlations and final-state multi-particle observables measured at colliders is not yet formulated as a systematically improvable matching problem. We show that detector correlators built from asymptotic energy flows provide a natural framework for realizing such a construction. In particular, we express the asymptotic energy flow as a functional of the early-time stress tensor, and expand it in suitable modes to recover the familiar linear hydrodynamic relations at leading order. Then, motivated by small-$x$ QCD, we map angular projections of detector correlators to multipole-operator correlators computed in the colliding nuclei. We thus establish a systematic formalism for matching long-wavelength correlations between incoming and outgoing QCD states in high-energy hadronic collisions.

Comments14 pages, 1 figure

论文原文

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