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Dirac Spectra in Dense QCD

Part of the Springer Theses Book Series (volume 124)

DOI: 10.1007/978-4-431-54165-3

ISBN: 978-4-431-54164-6

Publisher: Springer Japan - Springer Journals

Nov 2, 2012

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Chapter 1Introduction

Kanazawa, Takuya

Pages: 1 –6

[A brief introduction to Quantum Chromodynamics (QCD) is given. The theory’s main features such as color confinement, asymptotic freedom, chiral symmetry and its spontaneous breaking are reviewed. The Banks-Casher relation is emphasized as the key link between symmetry breaking and near-zero...
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Chapter 2QCD with Chemical Potential and Matrix Models

Kanazawa, Takuya

Pages: 7 –50

[In the first section the dynamics of QCD at finite temperature and density are summarized. Color superconductivity that takes place at sufficiently high density and low temperature is reviewed and unsolved problems on the QCD phase diagram are presented. In the second section readers are...
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Chapter 3Dirac Operator in Dense QCD

Kanazawa, Takuya

Pages: 51 –99

[This and the next chapter constitute the main part of this thesis. In this chapter, we will show that exact analysis of the Dirac operator is possible in the high density BCS phase of QCD for two and three colors, where the symmetries are spontaneously broken by the diquark condensate...
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Chapter 4Three-fold Way at High Density

Kanazawa, Takuya

Pages: 101 –121

[The analysis of the Dirac spectrum in the last chapter for dense two-color QCD (corresponding to Dyson index \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs}...
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Chapter 5Conclusions

Kanazawa, Takuya

Pages: 123 –125

[A summary of the main achievements in the present thesis is provided, with brief comments on a possible future direction.]

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