Gauge fields from Strings: Novel tools for longstanding problems

理解量子规范理论的强耦合动力学，这构成了我们对物质基本相互作用的理论理解，仍然是粒子物理学的巨大挑战之一。弦/规范对应是最近理论物理学中影响最深远的思想之一，它建议通过特定弯曲背景下的弦理论的对偶描述来解决这一挑战。这些又反过来提出了现代理论物理学的另一个关键问题。这个建议提出了一个明确的计划，以面对弦/规范对应框架中的几个复杂问题，强调两个方面：量子色动力学（QCD）的关系和定性参考，以及已建立的规范理论工具与弦的“交叉施肥”，反之亦然。要实现的目标包括：揭示弦/规范谱的预测性、隐藏性（互易性、超越性）;系统化弯曲背景中的弦量子化，也通过新颖的正则化方案和使用可积性来描述威尔逊环;评估N = 4超杨-米尔斯理论中的微扰红外安全量，重点是它们的QCD类性质。杰出的当地科学环境，加上我的个人专业知识和预见的国际合作，使即将成为Emmy Noether的小组处于一个独特的位置，可以在给定的时间框架内开展这一广泛的计划。

Understanding the strong coupling dynamics of quantum gauge theories, which constitute our theoretical understanding of the fundamental interactions of matter, remains one of the great challenges in particle physics. One of the most far-reaching recent ideas in theoretical physics, the string/gauge correspondence, suggests to address this challenge through a dual description via string theories in specific curved backgrounds. These in turn pose a further crucial problem of modern theoretical physics. This proposal puts forward a defined program to face several complex issues in the framework of the string/gauge correspondence, emphasizing two aspects: the relation and qualitative reference to quantum chromodynamics (QCD) and the „cross-fertilization" of established gauge-theoretical tools to strings and viceversa. Goals to be pursued include: unveiling predictive, hidden properties of the string/gauge spectrum (reciprocity, transcendentality); systematizing the string quantization in curved backgrounds, also via novel regularization schemes and using integrability to describe Wilson loops; evaluating perturbatively infrared-safe quantities in the N = 4 super Yang-Mills theory, with an emphasis on their QCD-like properties. The outstanding local scientific environment, together with my personal expertise and the foreseen international collaborations, put the would-be Emmy Noether group in a unique position to carry out this broad program within the given time frame.