NSF-BSF: Correlations and Entanglement: From CGC Wave Function to Particle Production at High Energy

在非常高的能量下，强力支配着质子和离子之间的相互作用。对强相互作用的完全理解是理论高能物理和核物理中一个长期存在的问题。十多年来，人们已经知道，在某些条件下，这些相互作用可以导致非常复杂的集体行为，例如夸克-胶子等离子体的形成。大型强子对撞机（LHC）实验计划的核心部分之一是研究重离子碰撞以及高能质子-离子碰撞中可能的集体和相关行为。后者特别有趣，因为理解集体可能会在理解质子结构方面取得进展。因此，在这个项目中，PI和他的合作者将研究集体行为如何起源于碰撞物体的波函数特性。该项目将为研究生和博士后提供优秀的培训。该项目涉及一种基于所谓的彩色玻璃冷凝物（CGC）的方法的开发，这是一种高能相互作用的现代方法。PI将研究高能强子波函数的准集体和量子特性之间的可能联系。该项目旨在提高目前对高能CGC波函数的认识。这包括通过对多尺度系统一致使用Born-Oppenheimer方法，对当前次导阶（NLO）计算进行大对数修正，并通过WKB近似将当前计算扩展到更密集的弹丸。此外，PI将研究高能碰撞中由该状态产生的粒子的相关行为，特别是模式的量子纠缠的影响，以及量子统计和粒子分布的其他特性的影响。该奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

The strong force governs the interactions between protons and ions at very high energies. Complete understanding of strong interactions is a long standing problem in theoretical high energy and nuclear physics. For more than a decade, it has been known that under certain conditions these interactions can lead to very intricate collective behavior, like for example formation of a Quark-Gluon plasma. One of the central parts of the experimental program at the Large Hadron Collider (LHC) is the study of possible collective and correlated behavior in heavy ion collisions as well as proton-ion collisions at high energy. The latter are particularly interesting, since understanding collectivity may allow for progress in understanding the structure of the proton. As such, in this project the PI and his collaborators will study how collective behavior can originate in the properties of the wave function of the colliding objects. This project will provide excellent training of graduate students and postdoctoral fellows.This project concerns the development of an approach based on the so-called Color Glass Condensate (CGC) - a modern approach to high energy interactions. The PI will study the possible connection between quasi collectivity and quantum properties of the hadronic wave function at high energy. The PI aims to improve the current knowledge of the CGC wave function at high energy. This involves resummation of large logarithmic corrections to current next-to-leading-order (NLO) calculations via a consistent use of the Born-Oppenheimer approach to a multiscale system, and extending the current calculations to denser projectiles via the WKB approximation. Furthermore, the PI will study the correlated behavior of particles produced from this state in a high energy collision, in particular effects of quantum entanglement of modes, as well as effects of quantum statistics and other properties of particle distributions.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.