Towards a nonperturbative construction of the $S$-matrix

Kavli Affiliate: Hitoshi Murayama

| First 5 Authors: Brian Henning, Hitoshi Murayama, Francesco Riva, Jedidiah O. Thompson, Matthew T. Walters

| Summary:

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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