Fr. 134.00

Dirac Spectra in Dense QCD

English · Hardback

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Description

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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.

List of contents

Introduction.- QCD with Chemical Potential and Matrix Models.- Dirac Operator in Dense QCD.- Threefold Way at High Density.- Conclusions.

About the author










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

Summary

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.

Product details

Authors Takuya Kanazawa
Publisher Springer, Berlin
 
Languages English
Product format Hardback
Released 01.12.2012
 
EAN 9784431541646
ISBN 978-4-431-54164-6
No. of pages 138
Weight 344 g
Illustrations XIV, 138 p.
Series Springer Theses
Springer Theses
Subject Natural sciences, medicine, IT, technology > Physics, astronomy > Theoretical physics

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