AI 中文总结
本研究构建了真空中与QGP中QCD喷注演化的理论框架，利用标度分离实现了类真空辐射、介质能量损失与颜色相干性的统一描述，将饱和物理概念应用于喷注淬火，为相关研究提供微扰基础。
AI 中文摘要
我们通过对大能量对数的重求和，构建了真空中与夸克-胶子等离子体（QGP）中QCD喷注演化的理论框架。利用喷注的硬标度与喷注能量损失相关的能量标度之间的强层级关系，我们证明阈值附近的喷注可观测量可由服从Banfi-Marchesini-Smye（BMS）演化的Wilson线关联子来表述。在该描述中，软辐射会分辨喷注的内部颜色结构，产生一系列非线性演化方程，用于描述颜色相干性的演化以及退相干能量损失的出现。对于在QCD介质中传播的喷注，我们证明介质诱导的相互作用会修改演化的边界条件，但保持其紫外结构不变。这种标度分离提供了对类真空辐射、介质诱导能量损失以及颜色相干性的统一描述。在大$N_c$极限下，所得演化与高能QCD的Balitsky-Kovchegov方程密切相关，使饱和物理的概念可应用于喷注淬火。特别地，介质相干角起着与饱和标度类似的作用，且在演化下具有相同的渐近标度行为。我们的框架为研究喷注淬火中的颜色相干效应建立了微扰基础，并为真空中与致密QCD物质中的软喷注演化提供了统一图像。
英文摘要
We formulate a theoretical framework for the evolution of QCD jets in vacuum and in the quark--gluon plasma through the resummation of large energy logarithms. Exploiting the strong hierarchy between the hard scale of the jet and the energy scale associated with jet energy loss, we show that jet observables near threshold can be formulated in terms of Wilson-line correlators obeying Banfi-Marchesini-Smye (BMS) evolution. In this description, soft radiation resolves the internal color structure of the jet, leading to a hierarchy of non-linear evolution equations that govern the evolution of color coherence and the emergence of decoherent energy loss. For jets propagating through a QCD medium, we demonstrate that medium-induced interactions modify the boundary conditions of the evolution while leaving its ultraviolet structure unchanged. This separation of scales provides a unified description of vacuum-like radiation, medium-induced energy loss, and color coherence. In the large-$N_c$ limit, the resulting evolution is closely related to the Balitsky-Kovchegov equation of high-energy QCD, allowing concepts from saturation physics to be applied to jet quenching. In particular, the medium coherence angle plays a role analogous to the saturation scale and acquires the same asymptotic scaling behavior under evolution. Our framework establishes a perturbative foundation for the study of color coherence effects in jet quenching and provides a unified picture of soft jet evolution in vacuum and in dense QCD matter.
Comments49 pages, 8 figures
