Finite-volume quantization condition from the N/D representation

doi:10.1016/j.physletb.2025.139442

Finite-volume quantization condition from the N/D representation

2025-05-01

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DOI：10.1016/j.physletb.2025.139442

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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 L & uuml;scher condition, this new formalism is valid for energies coinciding with the left-hand cuts from arbitrary one-and multiparticle exchanges.

Keyword:

SCATTERING-AMPLITUDES

COUPLED SCATTERING

ANALYTICITY

RESONANCES

STATES

Finite-volume quantization condition from the N/D representation

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