Exotic hadronic states and all-to-all quark propagators

Details Exotic hadronic states and all-to-all quark propagators Exotic hadronic states and all-to-all quark propagators

1997-05-09

arxiv.org/abs/hep-lat/9705013v1

Nucl.Phys.Proc.Suppl.60A:55-60,1998

Physics

High Energy Physics

High Energy Physics - Lattice

6 pages, LATEX, 2 postscript figures, needs espcrc2.sty

Scientific paper

10.1016/S0920-5632(97)00466-0

We discuss methods to obtain accurate hadronic spectra with propagating quarks. Comparing the determination of masses for spin-exotic hybrid mesons with glueball mass determinations, we conclude that quark propagators from all sites to all other sites would enable great improvement in the errors. Such propagators are achievable by using stochastic estimators. We discuss previous attempts and present our method for maximal variance reduction. This is a very promising technique and we illustrate it by obtaining the spectrum of ground state and excited B mesons in the limit where the $b$ quark is static.

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