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A Bayesian Analysis of QCD Sum Rules

Part of the Springer Theses Book Series

DOI: 10.1007/978-4-431-54318-3

ISBN: 978-4-431-54317-6

Publisher: Springer Japan - Springer Journals

Mar 30, 2013

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Introduction

Gubler, Philipp

Pages: 3 –9

[In this chapter, the background of the work presented in this thesis will be briefly outlined. This includes a short description of the various approaches employed in studying QCD, the theory of the strong interaction, among them the method of QCD sum rules, which will be they main tool to be...
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Basic Properties of QCD

Gubler, Philipp

Pages: 11 –23

[In this chapter, we will review the fundamentals of QCD, with a particular focus on the symmetries of the theory. The discussed topics include asymptotic freedom, gauge invariance, chiral symmetry and its realization in the QCD vacuum, and the properties of QCD in a hot or dense medium, which...
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Basics of QCD Sum Rules

Gubler, Philipp

Pages: 25 –50

[QCD sum rules, one of the basic tools employed in this thesis, will be reviewed in this chapter. First, the dispersion relation of the two-point function is introduced and the sum rules are subsequently derived, including an explanation of the Borel transformation. Then, some technical...
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The Maximum Entropy Method

Gubler, Philipp

Pages: 51 –73

[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...
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MEM Analysis of the ρ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\rho $$\end{document} Meson Sum Rule

Gubler, Philipp

Pages: 77 –96

[In the first part of this thesis, we have discussed how the MEM technique can in principle be applied to the analysis of QCD sum rules. However, to show that MEM is really a useful tool in QCD sum rule studies, it is of course necessary to check it in a real example. This is the aim of the...
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MEM Analysis of the Nucleon Sum Rule

Gubler, Philipp

Pages: 97 –121

[After having shown that the sum rule of the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt}...
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Quarkonium Spectra at Finite Temperature from QCD Sum Rules and MEM

Gubler, Philipp

Pages: 123 –147

[In this chapter, we will discuss a system for which the MEM technique will play an essential role for extracting meaningful information from the sum rules. This is so because, we have in principle no established information on the spectral functions of quarkonia at finite temperature, in...
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Summary, Conclusion and Outlook

Gubler, Philipp

Pages: 151 –154

[In this final chapter, the main results presented in the thesis will be summarized and possible directions for future developments discussed.]

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