Finite-volume quantization condition from the N/D representation

2024/11/24 by Sebastian M. Dawid, Dawid, Sebastian M., Andrew W. Jackura +3 · 2 citations
Computer Science · Medicine · #Advanced Data Compression Techniques #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Image and Signal Denoising Methods #Medical Imaging Techniques and Applications #Nuclear Theory (nucl-th)

paper · pdf · doi:10.48550/arxiv.2411.15730

openalex publication_date 2024/11/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

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, 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.

Cited by

• Modified Lüscher zeta-function and the modified effective range expansion in the presence of a long-range force
• Comparison of integral equations used to study T_cc⁺ for a stable D^*

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