Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2009-09-17
Phys.Rev.D80:114509,2009
Physics
High Energy Physics
High Energy Physics - Lattice
18 pages, no figures
Scientific paper
10.1103/PhysRevD.80.114509
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. Then, following similar arguments as in L\"uscher's, it is argued that the result is valid for a general massive quantum field theory under the same conditions as the L\"uscher's formulae. Using the spectral weight function, a possibility of extracting resonance parameters is also pointed out.
Gong Ming
Liu Chuan
Niu Zhi-Yuan
Shen Yan
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