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arXiv 2203.02421hep-th
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Snowmass白皮书:S矩阵引导程序

Snowmass White Paper: S-matrix Bootstrap

Martin Kruczenski, Joao Penedones, Balt C. van Rees

摘要:

S-矩阵Bootstrap起源于这样一种想法,即S-矩阵可以完全受到全局对称性、交叉性、么正性和解析性的约束,而不依赖于可能是或可能不是量子场论的基础动力学理论。最近,这一方法又从一个有些不同的角度重新得到了应用。利用同样的约束,我们可以用数值方法映射出允许的S-矩阵的(无限维)空间,它应该包含所有相容的量子场论(和引力的量子理论)。此外,在最好的情况下,人们可以在空间中找到特殊的点,这些点可以用某种感兴趣的量子场论来识别。在这种情况下,该方法允许S-矩阵的数值计算,而不依赖于特定的拉格朗日理论。在本白皮书中,我们总结了最新技术水平,并讨论了该主题的未来。

英文摘要:

The S-matrix Bootstrap originated on the idea that the S-matrix might be fully constrained by global symmetries, crossing, unitarity, and analyticity without relying on an underlying dynamical theory that may or may not be a quantum field theory. Recently this approach was revived from a somewhat different point of view. Using the same constraints, one numerically maps out the (infinite-dimensional) space of allowed S-matrices that should contain all consistent quantum field theories (and quantum theories of gravity). Moreover, in the best case scenario one finds special points in the space that can be identified with a certain quantum field theory of interest. In that case, the approach allows the numerical computation of the S-matrix without relying on the particular Lagrangian of the theory. In this white paper we summarize the state of the art and discuss the future of the topic.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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