Towards a nonperturbative construction of the $S$-matrix

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.

arXiv comment28 pages with appendices, 12 figures

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Cited by in corpus (2)

• Effective Hamiltonians and Counterterms for Hamiltonian Truncation
• Enhancing Quantum Field Theory Simulations on NISQ Devices with Hamiltonian Truncation