On the Volume Dependence of Spectral Weights for Unstable Particles in Lattice QCD
نویسنده
چکیده
Volume dependence of the spectral weight is usually used as the criteria to distinguish single particle state from multi-particle states in lattice QCD calculations. Within a solvable model, the Lee model, we show that this criteria is in principle only valid for a stable particle or a narrow resonance. If the resonance being studied is broad, then the volume dependence of the corresponding spectral weight resembles that of a multi-particle state instead of a single particle state. For an unstable V -particle in the Lee model, this is shown explicitly. We argue that this conclusion should also be qualitatively correct in general theories like QCD.
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