Paper detail

Analysis of Hadron Propagators with One Thousand Configurations on a $24^3\times 64$ Lattice at $β=6.0$

Statistical properties of effective mass are analyzed. We show from a general ground that effective mass as a function of time should not exhibit long plateaux whatever high statistics simulations are made: the mass should fluctuate beyond the one standard deviation of error bars after a few time slices for large times where the ground state dominates. This explains the difficulty of obtaining long plateaux experienced in previous simulations. Implications of the observation for global $χ^2$ fits are discussed, and results for hadron masses are presented.