Group-theoretical construction of extended baryon operators in lattice QCD

Details Group-theoretical construction of extended baryon operators in lattice QCD Group-theoretical construction of extended baryon operators in lattice QCD

2005-06-28

arxiv.org/abs/hep-lat/0506029v2

Phys.Rev. D72 (2005) 094506

Physics

High Energy Physics

High Energy Physics - Lattice

14 pages, RevTex (final published version)

Scientific paper

10.1103/PhysRevD.72.094506

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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