Group Theoretical Construction of Nucleon Operators using All-to-All Quark Propagators

Details Group Theoretical Construction of Nucleon Operators using All-to-All Quark Propagators Group Theoretical Construction of Nucleon Operators using All-to-All Quark Propagators

2007-10-18

arxiv.org/abs/0710.3571v1

PoSLAT2007:108,2007

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 6 figures, talk presented at the XXV International Symposium on Lattice Field Theory, July 30 - August 4, 2007, Regen

Scientific paper

We describe a method to construct irreducible baryon operators using all-to-all quark propagators. It was demonstrated earlier that a large basis of extended baryon operators on anisotropic, quenched lattices can be used to reliably extract the masses of 5 or more excited states in the nucleon channel. All-to-all quark propagators are expected to be needed when studying these excited states on light, dynamical configurations because contributions from multi-particle states are expected to be significant. The dilution method is used to approximate the all-to-all quark propagators. Low-lying eigenmodes can also be used if necessary. For efficient computation of matrix elements of the interpolating operators, the algorithms should exploit the fact that many extended baryon operators can be obtained from the different linear combinations of three-quark colour-singlet operators. The sparseness of the diluted noise vectors also afford several computation simplifications. Some preliminary results are presented for nucleon effective masses.

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