Analysis of Hadron Propagators with One Thousand Configurations on a 243× 64 Lattice at β=6.0

Abstract

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 2 fits are discussed, and results for hadron masses are presented.

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