Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2005-08-19
Phys.Rev. D72 (2005) 074501
Physics
High Energy Physics
High Energy Physics - Lattice
This manuscript provides an anlytical construction of operators and is related to hep-lat/0506029, which provides a computatio
Scientific paper
10.1103/PhysRevD.72.074501
Large sets of baryon interpolating field operators are developed for use in lattice QCD studies of baryons with zero momentum. Operators are classified according to the double-valued irreducible representations of the octahedral group. At first, three-quark smeared, local operators are constructed for each isospin and strangeness and they are classified according to their symmetry with respect to exchange of Dirac indices. Nonlocal baryon operators are formulated in a second step as direct products of the spinor structures of smeared, local operators together with gauge-covariant lattice displacements of one or more of the smeared quark fields. Linear combinations of direct products of spinorial and spatial irreducible representations are then formed with appropriate Clebsch-Gordan coefficients of the octahedral group. The construction attempts to maintain maximal overlap with the continuum SU(2) group in order to provide a physically interpretable basis. Nonlocal operators provide direct couplings to states that have nonzero orbital angular momentum.
Basak Subhasish
Edwards Robert
Fleming George T.
Heller Urs M.
Morningstar Colin
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