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.
| ISBN: | 9784431547068 |
| Publication date: | 14th December 2014 |
| Author: | Takuya Kanazawa |
| Publisher: | Springer an imprint of Springer Japan |
| Format: | Paperback |
| Pagination: | 138 pages |
| Series: | Springer Theses |
| Genres: |
Particle and high-energy physics Mathematical physics Electrical engineering The environment Energy technology and engineering |
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.
Dirac Spectra in Dense QCD features in the following genres: Particle and high-energy physics, Mathematical physics, Electrical engineering, The environment, Energy technology and engineering
Dirac Spectra in Dense QCD is available in Paperback, Hardback
Dirac Spectra in Dense QCD was written by Takuya Kanazawa and published by Springer an imprint of Springer Japan
Dirac Spectra in Dense QCD has 138 pages
Yes it is part of Springer Theses series