Dirac Spectra in Dense QCD

  • Takuya Kanazawa

Part of the Springer Theses book series (Springer Theses, volume 124)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Takuya Kanazawa
    Pages 1-6
  3. Takuya Kanazawa
    Pages 51-99
  4. Takuya Kanazawa
    Pages 101-121
  5. Takuya Kanazawa
    Pages 123-125
  6. Back Matter
    Pages 127-136

About this book

Introduction

Gaining a theoretical understanding of the properties of ultra-relativistic dense matter has been one of the most important and challenging goals in quantum chromodynamics (QCD). In this thesis, the author analyzes dense quark matter in QCD with gauge group SU(2) using low-energy effective theoretical techniques and elucidates a novel connection between statistical properties of the Dirac operator spectrum at high baryon chemical potential and a special class of random matrix theories. This work can be viewed as an extension of a similar correspondence  between QCD and matrix models which was previously known only for infinitesimal chemical potentials. In future numerical simulations of dense matter the analytical results reported here are expected to serve as a useful tool to extract physical observables such as the BCS gap from numerical data on the Dirac spectrum.

Keywords

BCS Gap Chiral Perturbation Theory Chiral Random Matrix Theory Large-N Limit of Strong Non-Hermiticity Leutwyler-Smilga Spectral Sum Rules Microscopic Spectral Density QCD Thesis QCD-like Theories at High Density Two-color QCD

Authors and affiliations

  • Takuya Kanazawa
    • 1
  1. 1., Department of PhysicsUniversity of RegensburgRegensburgGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-4-431-54165-3
  • Copyright Information Springer Japan 2013
  • Publisher Name Springer, Tokyo
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-4-431-54164-6
  • Online ISBN 978-4-431-54165-3
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
  • About this book