Journal article

Publication year: 2019

Pages: 129-142

Journal: Computer Physics Communications

Volume number: 237

ISSN: 0010-4655

eISSN: 1879-2944

DOI Link: https://doi.org/10.1016/j.cpc.2018.11.012

Publisher: Elsevier

Abstract: 
In this work we present a direct comparison of three different numerical analytic continuation methods: the Maximum Entropy Method, the Backus-Gilbert method and the Schlessinger point or Resonances Via Rade method. First, we perform a benchmark test based on a model spectral function and study the regime of applicability of these methods depending on the number of input points and their statistical error. We then apply these methods to more realistic examples, namely to numerical data on Euclidean propagators obtained from a Functional Renormalization Group calculation, to data from a lattice Quantum Chromodynamics simulation and to data obtained from a tight-binding model for graphene in order to extract the electrical conductivity. (C) 2018 Elsevier B.V. All rights reserved.

Harvard Citation style: Tripolt, R., Gubler, P., Ulybyshev, M. and von Smekal, L. (2019) Numerical analytic continuation of Euclidean data, Computer Physics Communications, 237, pp. 129-142. https://doi.org/10.1016/j.cpc.2018.11.012

APA Citation style: Tripolt, R., Gubler, P., Ulybyshev, M., & von Smekal, L. (2019). Numerical analytic continuation of Euclidean data. Computer Physics Communications. 237, 129-142. https://doi.org/10.1016/j.cpc.2018.11.012