论文标题

雪人白皮书:S-Matrix Bootstrap

Snowmass White Paper: S-matrix Bootstrap

论文作者

Kruczenski, Martin, Penedones, Joao, van Rees, Balt C.

论文摘要

S-Matrix引导程序源于以下想法:S-Matrix可能完全受到全局对称性,交叉,单位性和分析性的约束,而无需依赖可能是量子场理论的基本动力学理论。最近,这种方法从某种不同的角度恢复了。使用相同的约束,一个数字映射了允许的S-膜的(无限维)空间,该空间应包含所有一致的量子场理论(和重力的量子理论)。此外,在最好的情况下,人们可以在空间中找到特殊点,可以通过一定的量子场理论来识别。在这种情况下,该方法允许对S-Matrix进行数值计算,而无需依赖理论的特定Lagrangian。 在这份白皮书中,我们总结了艺术的状态,并讨论了该主题的未来。

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.

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