Extraction of the resonance parameters at finite times |
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| Authors: | Ulf-G Meißner Kathryn Polejaeva Akaki Rusetsky |
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| Institution: | 1. Helmholtz-Institut für Strahlen- und Kernphysik (Theorie), and Bethe Center for Theoretical Physics, Universität Bonn, 53115 Bonn, Germany;2. Forschungszentrum Jülich, Institut für Kernphysik (IKP-3), Jülich Center for Hadron Physics and Institute for Advanced Simulation (IAS-4), D-52425 Jülich, Germany |
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| 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 Δ-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 Lüscher's approach. |
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| Keywords: | Unstable states Lattice field theory Ising model |
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