Springer Theses

Dirac Spectra in Dense QCD

Authors: Kanazawa, Takuya

  • Summarizes in a coherent manner the full content of the author's research on applications of random matrix theory to QCD, which was originally published in separate papers
  • Contains a reader-friendly, detailed introduction to the physics of dense quark matter, with abundant references to the original literature
  • Nominated as an outstanding Ph.D thesis by the University of Tokyo's Physics Department in 2011
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About this book

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.

About the authors

Dr. Takuya Kanazawa
Department of Physics
University of Regensburg
Universit├Ątsstra├če 31
93053 Regensburg
Deutschland/Germany

Table of contents (5 chapters)

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-4-431-54165-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-4-431-54164-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • ISBN 978-4-431-54706-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Dirac Spectra in Dense QCD
Authors
Series Title
Springer Theses
Series Volume
124
Copyright
2013
Publisher
Springer Japan
Copyright Holder
Springer Japan
eBook ISBN
978-4-431-54165-3
DOI
10.1007/978-4-431-54165-3
Hardcover ISBN
978-4-431-54164-6
Softcover ISBN
978-4-431-54706-8
Series ISSN
2190-5053
Edition Number
1
Number of Pages
XIV, 138
Topics