TY  - BOOK
AU  - Kanazawa,Takuya
ED  - SpringerLink (Online service)
TI  - Dirac Spectra in Dense QCD
T2  - Springer Theses, Recognizing Outstanding Ph.D. Research,
SN  - 9784431541653
AV  - QC174.45-174.52 
U1  - 530.14 23
PY  - 2013///
CY  - Tokyo
PB  - Springer Japan, Imprint: Springer
KW  - physics
KW  - Quantum theory
KW  - Physics
KW  - Quantum Field Theories, String Theory
KW  - Elementary Particles, Quantum Field Theory
KW  - Mathematical physics
KW  - Energy, general
N1  - Introduction -- QCD with Chemical Potential and Matrix Models -- Dirac Operator in Dense QCD -- Threefold Way at High Density -- Conclusions
N2  - 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
UR  - http://dx.doi.org/10.1007/978-4-431-54165-3
ER  -