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Dirac Spectra in Dense QCD

by Kanazawa, Takuya.
Authors: SpringerLink (Online service) Series: Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053 ; . 124 Physical details: XIII, 136 p. 18 illus., 14 illus. in color. online resource. ISBN: 4431541659 Subject(s): Physics. | Quantum theory. | Physics. | Quantum Field Theories, String Theory. | Elementary Particles, Quantum Field Theory. | Mathematical Physics. | Energy, general.
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E-Book E-Book AUM Main Library 530.14 (Browse Shelf) Not for loan

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

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 correspondenceĀ  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.

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