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.

28 pages with appendices, 12 figures

References in corpus (11)

• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• From deep inelastic scattering to heavy-flavor semi-leptonic decays: Total rates into multi-hadron final states from lattice QCD
• Entanglement generation in $(1+1)D$ QED scattering processes
• NLO Renormalization in the Hamiltonian Truncation
• Truncated Conformal Space Approach for 2D Landau-Ginzburg Theories
• Exact Symmetries and Threshold States in Two-Dimensional Models for QCD
• Thermalization and chaos in a 1+1d QFT
• Hamiltonian Truncation Effective Theory
• Relativistic continuous matrix product states for quantum fields without cutoff
• Form Factors and Spectral Densities from Lightcone Conformal Truncation
• Variational method in relativistic quantum field theory without cutoff

Cited by in corpus (2)

• Effective Hamiltonians and Counterterms for Hamiltonian Truncation
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