出版社:SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要: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.