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Lattice QCD Beyond Ground States

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arxiv 0709.1902 v1 pith:53JVDSC4 submitted 2007-09-12 hep-lat

classification hep-lat
keywords latticeblackmethodmethodsmultiplestatesapproachesfitting
verification ladder T0 review T1 audit T2 compute T3 formal
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In this work, we apply black box methods (methods not requiring input) to find excited-state energies. A variety of such methods for lattice QCD were introduced at the 3rd iteration of the numerical workshop series. We first review a selection of approaches that have been used in lattice calculations to determine multiple energy states: multiple correlator fits, the variational method and Bayesian fitting. In the second half, we will focus on a black box method, the multi-effective mass. We demonstrate the approach on anisotropic lattice data, extracting multiple states from single correlators. Without complicated operator construction or specialized fitting programs, the black box method shows good consistency with the traditional approaches.

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Cited by 1 Pith paper

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  1. Block Lanczos algorithm for lattice QCD spectroscopy and matrix elements

    hep-lat 2024-12 conditional novelty 7.0 of 10

    Block Lanczos is shown to generalize the GEVP method for lattice QCD correlator matrices, providing faster convergence, two-sided error bounds, and improved signal-to-noise.

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