Towards a nonperturbative construction of the S-matrix

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

doi:10.1007/JHEP05(2023)197

Towards a nonperturbative construction of the S-matrix

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

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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 → 2 scattering amplitude for arbitrary (complex) center-of-mass energy.

Original language	English
Article number	197
Journal	Journal of High Energy Physics
Volume	2023
Issue number	5
DOIs	https://doi.org/10.1007/JHEP05(2023)197
Publication status	Published - 25 May 2023

Keywords

hep-th
hep-lat
hep-ph
Scattering Amplitudes
Field Theories in Lower Dimensions
Nonperturbative Effects

ASJC Scopus subject areas

Nuclear and High Energy Physics

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AU - Henning, Brian

AU - Murayama, Hitoshi

AU - Riva, Francesco

AU - Thompson, Jedidiah O.

AU - Walters, Matthew T.

PY - 2023/5/25

Y1 - 2023/5/25

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AB - 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 → 2 scattering amplitude for arbitrary (complex) center-of-mass energy.

KW - hep-th

KW - hep-lat

KW - hep-ph

KW - Scattering Amplitudes

KW - Field Theories in Lower Dimensions

KW - Nonperturbative Effects

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DO - 10.1007/JHEP05(2023)197

M3 - Article

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VL - 2023

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 5

M1 - 197

ER -

Towards a nonperturbative construction of the S-matrix

Abstract

Keywords

ASJC Scopus subject areas

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