论文标题

进行$ S $ -MATRIX的非扰动结构

Towards a nonperturbative construction of the $S$-matrix

论文作者

Henning, Brian, Murayama, Hitoshi, Riva, Francesco, Thompson, Jedidiah O., Walters, Matthew T.

论文摘要

我们提出了一种非扰动食谱,用于直接计算强耦合qfts的$ s $ matrix。该方法利用在哈密顿框架中获得的光谱数据,可以应用于广泛的理论,包括潜在的QCD。我们使用用汉密尔顿截断计算的能量本特征状态在2+1d $ o(n)$型号的具体示例中证明了该处方的实用性,以对任意(复杂)中心能量进行全部2 $ 2 $ 2 $散射幅度来复制整个$ 2 \ 2 $散射幅度。

We present a nonperturbative recipe for directly computing the $S$-matrix in strongly-coupled QFTs. The method makes use of spectral data obtained in a Hamiltonian framework and can be applied to a wide range of theories, including potentially QCD. We demonstrate the utility of this prescription in the specific example of the 2+1d $O(N)$ model at large $N$, using energy eigenstates computed with Hamiltonian truncation to reproduce the full $2 \to 2$ scattering amplitude for arbitrary (complex) center-of-mass energy.

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