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 Padé 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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