论文标题
Quark-Gluon等离子体中喷气机的横向动量扩大：开放量子系统EFT
Transverse Momentum Broadening of a Jet in Quark-Gluon Plasma: An Open Quantum System EFT
论文作者
论文摘要
我们利用开放量子系统的技术与最近开发的有效田间理论一起用于正向散射，以通过热平衡中的弱耦合夸克 - 杜伦等离子体来解决无质量喷气的繁殖问题。我们通过将血浆的热尺度与有效的田间理论中的相关尺度进行比较，讨论了可能出现在此问题中的量表的各种可能的层次结构。从Lindblad方程式开始，我们得出了一个主方程，以实现无质量夸克射流的横向动量分布，在强耦合和有效场理论的功率计数中的领先顺序。马尔可夫近似在弱耦合极限中是合理的。使用对主方程的解决方案，我们研究了射流的横向动量扩大随血浆温度和传播时间的函数。我们讨论了在解决方案中产生的红外敏感性的物理起源，以及在有效的现场理论公式中处理它的方法。我们怀疑最终的测量约束只能截止领先的红外奇点，而对马尔可夫主方程的解决方案可以恢复对数系列。这项工作是一块垫脚石，用于理解Quark-Gluon等离子体的探针，在轻和重夸克喷气机上可观察到喷气式淬火和喷气式子结构。
We utilize the technology of open quantum systems in conjunction with the recently developed effective field theory for forward scattering to address the question of massless jet propagation through a weakly-coupled quark-gluon plasma in thermal equilibrium. We discuss various possible hierarchies of scales that may appear in this problem, by comparing thermal scales of the plasma with relevant scales in the effective field theory. Starting from the Lindblad equation, we derive and solve a master equation for the transverse momentum distribution of a massless quark jet, at leading orders both in the strong coupling and in the power counting of the effective field theory. Markovian approximation is justified in the weak coupling limit. Using the solution to the master equation, we study the transverse momentum broadening of a jet as a function of the plasma temperature and the time of propagation. We discuss the physical origin of infrared sensitivity that arises in the solution and a way to handle it in the effective field theory formulation. We suspect that the final measurement constraint can only cut-off leading infrared singularities and the solution to the Markovian master equation resums a logarithmic series. This work is a stepping stone towards understanding jet quenching and jet substructure observables on both light and heavy quark jets as probes of the quark-gluon plasma.
