Dirac Spectra in Dense QCD electronic resource by Takuya Kanazawa.
Material type: TextSeries: Springer Theses, Recognizing Outstanding Ph.D. ResearchPublication details: Tokyo : Springer Japan : Imprint: Springer, 2013Description: XIII, 136 p. 18 illus., 14 illus. in color. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9784431541653Subject(s): physics | Quantum theory | Physics | Quantum Field Theories, String Theory | Elementary Particles, Quantum Field Theory | Mathematical physics | Energy, generalDDC classification: 530.14 LOC classification: QC174.45-174.52Online resources: Click here to access onlineIntroduction -- 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 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.
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