Discretization effects in finite-volume 2→2 scattering

2024/08/13 by Maxwell T. Hansen, Hansen, Maxwell T., Toby Peterken +1 · 1 citation
Physics and Astronomy · #Electromagnetic Scattering and Analysis #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat)

paper · pdf · doi:10.48550/arxiv.2408.07062

openalex publication_date 2024/08/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We incorporate non-zero lattice-spacing effects into Lüscher's finite-volume scattering formalism. The new quantization condition takes lattice energies as input and returns a version of the discretized scattering amplitude whose definition is transparent in the context of Symanzik Effective Theory. In contrast to the standard formalism, this approach uses single-hadron discretization effects to define modified versions of the finite-volume zeta functions. The new formalism requires two sets of angular-momentum indices, which encode the ultraviolet mixing of angular momentum states (due to the lattice spacing), in addition to the well-known infrared mixing (due to the finite volume).

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