期刊
COMPUTER PHYSICS COMMUNICATIONS
卷 237, 期 -, 页码 129-142出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cpc.2018.11.012
关键词
Analytic continuation; Spectral function; Lattice QCD
资金
- Mext-Supported Program for the Strategic Foundation at Private Universities, Japan, Topological Science [S1511006]
- Deutsche Forschungsgemeinschaft (DFG), Germany [CRC-TR 211]
- DFG, Germany [BU 2626/2-1, SM 70/3-1]
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.
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