Dirac Spectra in Dense QCD: 124 2013th Edition

Dirac Spectra in Dense QCD: 124 2013th Edition book cover

Dirac Spectra in Dense QCD: 124 2013th Edition

Author(s): Takuya Kanazawa (Author)

  • Publisher: Springer
  • Publication Date: 2 Nov. 2012
  • Edition: 2013th
  • Language: English
  • Print length: 152 pages
  • ISBN-10: 4431541640
  • ISBN-13: 9784431541646

Book Description

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.

Editorial Reviews

From the Back Cover

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 Author

Dr. Takuya Kanazawa
Department of Physics
University of Regensburg
Universitätsstraße 31
93053 Regensburg
Deutschland/Germany

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