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Group-theoretical construction of extended baryon operators in lattice QCD

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arxiv hep-lat/0506029 v2 pith:ZIMUBKID submitted 2005-06-28 hep-lat

S. Basak , R.G. Edwards , G.T. Fleming , U.M. Heller , C. Morningstar , D. Richards , I. Sato , S. Wallace This is my paper · ORCID
classification hep-lat
keywords latticeoperatorsgroup-theoreticalstatesaddressedbaryonbaryonschannels
verification ladder T0 review T1 audit T2 compute T3 formal
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The design and implementation of large sets of spatially-extended, gauge-invariant operators for use in determining the spectrum of baryons in lattice QCD computations are described. Group-theoretical projections onto the irreducible representations of the symmetry group of a cubic spatial lattice are used in all isospin channels. The operators are constructed to maximize overlaps with the low-lying states of interest, while minimizing the number of sources needed in computing the required quark propagators. Issues related to the identification of the spin quantum numbers of the states in the continuum limit are addressed.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  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.

  2. Optimising stochastic algorithms for hadron correlation function computations in lattice QCD using a localised distillation basis

    hep-lat 2024-11 conditional novelty 7.0 of 10

    A new localised basis for lattice QCD distillation, generated by a unitary-flow orthogonalisation, enables sparse importance-sampled contractions of baryon correlation functions.

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