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A Bayesian Analysis of QCD Sum RulesThe Maximum Entropy Method

A Bayesian Analysis of QCD Sum Rules: The Maximum Entropy Method [The main subject of this thesis is to extract the spectral function of a specific interpolating field from the OPE of its correlator. For this task, we propose to use the maximum entropy method (MEM), which allows us the obtain the spectral function without any assumptions on its functional form. How this is done, will be discussed in this chapter. Furthermore, for illustration, we will also show the results of the MEM analysis of a simple toy model.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Bayesian Analysis of QCD Sum RulesThe Maximum Entropy Method

Part of the Springer Theses Book Series

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Publisher
Springer Japan
Copyright
© Springer Japan 2013
ISBN
978-4-431-54317-6
Pages
51 –73
DOI
10.1007/978-4-431-54318-3_4
Publisher site
See Chapter on Publisher Site

Abstract

[The main subject of this thesis is to extract the spectral function of a specific interpolating field from the OPE of its correlator. For this task, we propose to use the maximum entropy method (MEM), which allows us the obtain the spectral function without any assumptions on its functional form. How this is done, will be discussed in this chapter. Furthermore, for illustration, we will also show the results of the MEM analysis of a simple toy model.]

Published: Mar 30, 2013

Keywords: Bayes’ theorem; Likelihood function; Prior probability; Bryan algorithm; Maximum entropy method

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