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Towards a nonperturbative construction of the $S$-matrix

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arxiv 2209.14306 v2 pith:VBCXMA2T submitted 2022-09-28 hep-th hep-lathep-ph

Brian Henning , Hitoshi Murayama , Francesco Riva , Jedidiah O. Thompson , Matthew T. Walters This is my paper · ORCID
classification hep-thhep-lathep-ph
keywords energyhamiltonianmatrixnonperturbativeamplitudeappliedarbitrarycenter-of-mass
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abstract

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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  1. Systematic Improvement of Hamiltonian Truncation Effective Theory

    hep-th 2025-07 conditional novelty 6.0 of 10

    NLO matching corrections with nonlocal terms are computed for 1+1D λφ⁴ Hamiltonian truncation, and the eigenvalue error is shown to scale as 1/Emax⁴, confirming the effective theory power counting.

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