2020/07/01 by Raúl A. Briceño, Juan V. Guerrero, Maxwell T. Hansen +2 · 1 citation
Mathematics · Physics and Astronomy · #Algorithm #Classical mechanics #Computation #Finite volume method #High-Energy Particle Collisions Research #Mathematics #Minkowski space #Observable #Particle physics theoretical and experimental studies #Physics #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum field theory #Quantum mechanics #Scattering #Scattering amplitude #Statistical physics #Theoretical physics #hep-lat #quant-ph
paper · pdf · doi:10.1103/physrevd.103.014506
published as Phys. Rev. D 103, 014506 (2021) · 18 pages, 7 figures
arxiv created 2020/07/01 · openalex publication_date 2021/01/06 · arxiv updated 2021/01/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Quantum computing may offer the opportunity to simulate strongly interacting field theories, such as quantum chromodynamics, with physical time evolution. This would give access to Minkowski-signature correlators, in contrast to the Euclidean calculations routinely performed at present. However, as with present-day calculations, quantum computation strategies still require the restriction to a finite system size, including a finite, usually periodic, spatial volume. In this work, we investigate the consequences of this in the extraction of hadronic and Compton-like scattering amplitudes. Using the framework presented in Brice\~no et al. [Phys. Rev. D 101, 014509 (2020)], we estimate the volume effects for various 1+1D Minkowski-signature quantities and show that these can be a significant source of systematic uncertainty, even for volumes that are very large by the standards of present-day Euclidean calculations. We then present an improvement strategy, based in the fact that the finite volume has a reduced symmetry. This implies that kinematic points, which yield the same Lorentz invariants, may still be physically distinct in the periodic system. As we demonstrate, both numerically and analytically, averaging over such sets can significantly suppress the unwanted volume distortions and improve the extraction of the physical scattering amplitudes. As the improvement strategy is based only in kinematics, it can be applied without detailed knowledge of the system.