2010/07/06 by Ulf-G. Meißner, Kathryn Polejaeva, Akaki Rusetsky
Mathematics · Physics and Astronomy · #Condensed matter physics #Euclidean geometry #Function (biology) #Geometry #Ising model #Lattice (music) #Markov Chains and Monte Carlo Methods #Mathematical analysis #Mathematics #Physics #Point (geometry) #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Resonance (particle physics) #Scale (ratio) #Spins #Statistical physics #Theoretical and Computational Physics #hep-lat #hep-ph
paper · pdf · doi:10.1016/j.nuclphysb.2010.12.011
published as Nucl.Phys.B846:1-20,2011 · 20 pages, 6 figures
arxiv created 2010/07/06 · openalex publication_date 2010/12/24 · arxiv updated 2011/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.