Tripolt, Ralf-Arno and Gubler, Philipp and Ulybyshev, Maksim and von Smekal, Lorenz (2019) Numerical analytic continuation of Euclidean data. COMPUTER PHYSICS COMMUNICATIONS, 237. pp. 129-142. ISSN 0010-4655, 1879-2944
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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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | MAXIMUM-ENTROPY ANALYSIS; SPECTRAL FUNCTIONS; INFORMATION-THEORY; FIELD-THEORY; QCD; TIME; Analytic continuation; Spectral function; Lattice QCD |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 15 Apr 2020 08:13 |
| Last Modified: | 15 Apr 2020 08:13 |
| URI: | https://pred.uni-regensburg.de/id/eprint/27317 |
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