Exotic hadronic states and all-to-all quark propagators

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.