Dirac Spectra in Dense QCD

Dirac Spectra in Dense QCD by Takuya Kanazawa.

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 theoretic...

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Bibliographic Details
Main Author: Kanazawa, Takuya (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Tokyo : Springer Japan : Imprint: Springer, 2013.
Edition:1st ed. 2013.
Series:Springer Theses, Recognizing Outstanding Ph.D. Research, 124
Springer eBook Collection.
Subjects:
Quantum field theory.
String theory.
Elementary particles (Physics).
Mathematical physics.
Energy.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Description
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.
Physical Description:XIV, 138 p. online resource.
ISBN:9784431541653
ISSN:2190-5053 ;
DOI:10.1007/978-4-431-54165-3

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