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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/2411.15730 |
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| _version_ | 1866910712454971392 |
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| author | Dawid, Sebastian M. Jackura, Andrew W. Szczepaniak, Adam P. |
| author_facet | Dawid, Sebastian M. Jackura, Andrew W. Szczepaniak, Adam P. |
| contents | We propose a new model-independent method for determining hadronic resonances from lattice QCD. The formalism is derived from the general principles of unitarity and analyticity, as encoded in the $N/D$ representation of a partial-wave two-body amplitude. The associated quantization condition relates the finite-volume spectrum to the infinite-volume numerator, $\mathcal{N}$, used to reconstruct the scattering amplitude from dispersive relations. Unlike the original Lüscher condition, this new formalism is valid for energies coinciding with the left-hand cuts from arbitrary one- and multi-particle exchanges. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_15730 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Finite-volume quantization condition from the $N/D$ representation Dawid, Sebastian M. Jackura, Andrew W. Szczepaniak, Adam P. High Energy Physics - Lattice Nuclear Theory We propose a new model-independent method for determining hadronic resonances from lattice QCD. The formalism is derived from the general principles of unitarity and analyticity, as encoded in the $N/D$ representation of a partial-wave two-body amplitude. The associated quantization condition relates the finite-volume spectrum to the infinite-volume numerator, $\mathcal{N}$, used to reconstruct the scattering amplitude from dispersive relations. Unlike the original Lüscher condition, this new formalism is valid for energies coinciding with the left-hand cuts from arbitrary one- and multi-particle exchanges. |
| title | Finite-volume quantization condition from the $N/D$ representation |
| topic | High Energy Physics - Lattice Nuclear Theory |
| url | https://arxiv.org/abs/2411.15730 |