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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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| _version_ | 1866911986747441152 |
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| author | Hansen, Maxwell T. Peterken, Toby |
| author_facet | Hansen, Maxwell T. Peterken, Toby |
| 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). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_07062 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Discretization effects in finite-volume $2\to2$ scattering Hansen, Maxwell T. Peterken, Toby High Energy Physics - Lattice 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). |
| title | Discretization effects in finite-volume $2\to2$ scattering |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2408.07062 |