论文标题

我们可以从n = 4个超级阳米尔斯中学到QCD和对撞机物理学的知识?

What can we learn about QCD and collider physics from N=4 super Yang-Mills?

论文作者

Henn, Johannes M.

论文摘要

巨大的持续理论努力致力于开发QCD计算的新方法。需要在LHC上完全利用仍需要收集的数据,需要定性而不是增量。与QCD Gluon部门的最大超对称Yang-Mills理论($ {\ Mathcal n} = 4 $ sym),其中包含最复杂的Feynman图形,但同时具有许多特殊属性,并且被认为可以解决。自然要问我们可以从$ {\ Mathcal n} = 4 $ SEMM中的进步中学到什么,以解决QCD中的困难问题。考虑到这一点,我们在这里审查了$ {\ Mathcal n} = 4 $ sym的最新结果的一些显着发展和重点。这包括用于某些散射幅度,新型对称性,循环集成的几何结构的全阶结果,用于计算Feynman积分的新工具以及Bootstrap方法。尽管已经将几种见解和工具传递到QCD,并为LHC物理学的最新计算做出了贡献,但我们认为有许多进一步的有趣的想法正在等待探索。

Tremendous ongoing theory efforts are dedicated to developing new methods for QCD calculations. Qualitative rather than incremental advances are needed to fully exploit data still to be collected at the LHC. The maximally supersymmetric Yang-Mills theory (${\mathcal N}=4$ sYM) shares with QCD the gluon sector, which contains the most complicated Feynman graphs, but at the same time has many special properties, and is believed to be solvable exactly. It is natural to ask what we can learn from advances in ${\mathcal N}=4$ sYM for addressing difficult problems in QCD. With this in mind, we review here several remarkable developments and highlights of recent results in ${\mathcal N}=4$ sYM. This includes all-order results for certain scattering amplitudes, novel symmetries, surprising geometrical structures of loop integrands, novel tools for the calculation of Feynman integrals, and bootstrap methods. While several insights and tools have already been carried over to QCD and have contributed to state-of-the-art calculations for LHC physics, we argue that there is a host of further fascinating ideas waiting to be explored.

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