Extraction of the resonance parameters at finite times

Abstract

In this paper we propose a model-independent method to extract the resonance parameters on the lattice directly from the Euclidean 2-point correlation functions of the field operators at finite times. The method is tested in case of the two-point function of the Delta-resonance, calculated at one loop in Small Scale Expansion. Further, the method is applied to a 1+1-dimensional model with two coupled Ising spins and the results are compared with earlier ones obtained by using Luescher's approach.

arXiv comment20 pages, 6 figures

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Cited by in corpus (7)

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• Scattering in the pion-nucleon negative parity channel in lattice QCD
• From deep inelastic scattering to heavy-flavor semi-leptonic decays: Total rates into multi-hadron final states from lattice QCD
• Matrix elements of unstable states
• The Optical Potential on the Lattice
• A comparison of analysis techniques for extracting resonance parameters from lattice Monte Carlo data