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Numerical analytic continuation of Euclidean data

ユークリッド的データの数値的解析接続

Tripolt, R.-A.*; Gubler, P. ; Ulybyshev, M.*; von Smekal, L.*

Tripolt, R.-A.*; Gubler, P.; Ulybyshev, M.*; von Smekal, L.*

本論文ではユークリッド的データを数値的解析接続する三つの手法を比較する。最大エントロピー法, バックス・ギルベルト法、及びシュレッシンガー点法。ベンチマーク・テストを行うことで、どの手法がどのような場合に応用可能かを検討する。最後には現実的な応用例もいくつかを紹介する。

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 Pade 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.

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パーセンタイル:97.89

分野:Computer Science, Interdisciplinary Applications

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