Numerical analytic continuation of Euclidean data

被引：59

作者：

Tripolt, Ralf-Arno ^{[1
,2
]}

Gubler, Philipp ^{[3
,4
,5
]}

Ulybyshev, Maksim ^{[6
,8
]}

von Smekal, Lorenz ^{[7
]}

机构：

[1] European Ctr Theoret Studies Nucl Phys & Related, I-38123 Villazzano, TN, Italy

[2] Fdn Bruno Kessler, I-38123 Villazzano, TN, Italy

[3] Japan Atom Energy Agcy, Adv Sci Res Ctr, Tokai, Ibaraki 3191195, Japan

[4] Keio Univ, Dept Phys, Kanagawa 2238522, Japan

[5] Keio Univ, Res & Educ Ctr Nat Sci, Kanagawa 2238521, Japan

[6] Univ Regensburg, Inst Theoret Phys, D-93053 Regensburg, Germany

[7] Justus Liebig Univ, Inst Theoret Phys, D-35392 Giessen, Germany

[8] Univ Wurzburg, D-97074 Wurzburg, Germany

来源：

COMPUTER PHYSICS COMMUNICATIONS | 2019年 / 237卷

关键词：

Analytic continuation; Spectral function; Lattice QCD; MAXIMUM-ENTROPY ANALYSIS; SPECTRAL FUNCTIONS; INFORMATION-THEORY; FIELD-THEORY; QCD; TIME;

D O I：

10.1016/j.cpc.2018.11.012

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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.

引用

页码：129 / 142

页数：14

共 49 条

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