A general study on the volume dependence of spectral weights in lattice field theory

Understand

It has been suggested that the volume dependence of the spectral weight could be utilized to distinguish single and multi-particle states in Monte Carlo simulations.

• In a recent study using a solvable model, the Lee model, we found that this criteria is applicable only for stable particles and narrow resonances, not for the broad resonances.
• In this paper, the same question is addressed within the finite size formalism outlined by L\"uscher.
• Using a quantum mechanical scattering model, the conclusion that was found in previous Lee model study is recovered.