改进的雷奇运动学与夸克-胶子等离子体中动量展宽的全路径长度修正
Improved Regge Kinematics and All-Path-Length Corrections to Momentum Broadening in the Quark-Gluon Plasma
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中文总结 AI 辅助
本研究拓展GLV形式体系，纳入全路径长度修正与改进亚雷奇运动学，推导QGP中高能部分子横动量展宽的解析结果，发现修正对短路径、高动量交换情形影响显著，完善了相关理论描述。
中文摘要 AI 辅助
我们开展了高能部分子在夸克-胶子等离子体（QGP）中传播时的横动量展宽研究，将Gyulassy-Levai-Vitev（GLV）形式体系拓展至同时包含全路径长度（APL）修正与改进的亚雷奇运动学。标准GLV框架依赖大间距与大形成时间近似，这在大原子核中是合理的，但在相关长度标度与相干标度相当的小碰撞系统中可能并不可靠。我们在不透明度展开的一阶近似下，系统地放松这些近似，推导了横动量展宽分布及对应的动量输运系数$\boldsymbol{\u0071}$的解析表达式。APL修正源于对大间距近似的放松，而亚雷奇修正与亚雷奇-APL联合修正则通过超出严格雷奇极限的一组改进雷奇运动学得到。我们发现，这些修正会显著改变横动量展宽分布与动量输运系数，尤其是在短路径长度和高交换动量的情形下，为QGP中的动量展宽提供了更完备的理论描述。
英文摘要
We present a study of transverse momentum broadening for high-energy partons propagating through the quark-gluon plasma (QGP), extending the Gyulassy-Levai-Vitev (GLV) formalism to include both all-path-length (APL) corrections and improved sub-Regge kinematics. The standard GLV framework relies on the large separation distance and large formation time approximations, which are well justified in large nuclei but may become unreliable in small collision systems, where the relevant length and coherence scales are comparable. Working to first order in the opacity expansion, we derive analytic expressions for the transverse momentum broadening distribution and the corresponding momentum transport coefficient, $\hat{q}$, while systematically relaxing these approximations. The APL correction arises from relaxing the large separation distance approximation, whereas the sub-Regge and combined sub-Regge-APL corrections are obtained using an improved set of Regge kinematics beyond the strict Regge limit. We find that these corrections can substantially modify both the transverse momentum broadening distribution and the momentum transport coefficient, particularly for short path lengths and high exchanged momentum, providing a more complete theoretical description of momentum broadening in the QGP.
