DOE OSTI · 2547048
Finite-volume quantization condition from the N/D representation
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 $\mathscr{N}$, 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 multiparticle exchanges.
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Dawid, Sebastian M. [Univ. of Washington, Seattle, WA (United States)] (ORCID:0000000184985254), Jackura, Andrew W. [College of William and Mary, Williamsburg, VA (United States)] (ORCID:0000000232495410), Szczepaniak, Adam P. [Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Indiana Univ., Bloomington, IN (United States)] (ORCID:0000000241565492). 2025-04-01. Finite-volume quantization condition from the N/D representation. https://doi.org/10.1016/j.physletb.2025.139442
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