论文标题

求解n = 4个超值米尔斯理论中的散射

Solving Scattering in N=4 Super-Yang-Mills Theory

论文作者

Arkani-Hamed, Nima, Dixon, Lance J., McLeod, Andrew J., Spradlin, Marcus, Trnka, Jaroslav, Volovich, Anastasia

论文摘要

作为雪人社区规划练习的一部分,我们强调了一项正在进行的研究计划,该计划涉及n = 4个Super-Yang-Mills理论中散射幅度的结构,尤其是在大量颜色的平面限制下。该理论位于高能粒子物理学中许多令人兴奋的主题的联系,包括广告/CFT对应关系,保形场理论,集成性和弦理论,并且被认为可以在四个维度中完全解决。在许多方面,平面n = 4超值米尔斯理论是相对论散射的“氢原子”:事实证明,它对于学习量子场理论的新几何形式是必不可少的,用于探索高扰动顺序的数学特性,以及在高扰动阶的数学特性中,以及开发有力的新计算方法,这些方法在精确的胶体物理学中发现了适用于核心核心物理的适用性。

As part of the Snowmass community planning exercise, we highlight an ongoing program of research into the structure of scattering amplitudes in N=4 super-Yang-Mills theory, particularly in the planar limit of a large number of colors. This theory sits at the nexus of a number of exciting topics in high-energy particle physics, including the AdS/CFT correspondence, conformal field theory, integrability, and string theory, and is believed to be exactly solvable in four dimensions. In many ways, planar N=4 super-Yang-Mills theory is the "hydrogen atom" of relativistic scattering: It has proven indispensable for learning about new geometrical formulations of quantum field theory, for exploring mathematical properties at high perturbative orders, and for developing powerful new computational methods that have found applicability in precision collider physics.

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