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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.07062 |
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Table of Contents:
- 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).