Dirac Spectra in Dense QCD

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.

List of contents

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

About the author

Dr. Takuya Kanazawa

Department of Physics

University of Regensburg

Universitätsstraße 31

93053 Regensburg

Deutschland/Germany

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.

Product details

• Authors: Takuya Kanazawa
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.2014
• EAN: 9784431547068
• ISBN: 978-4-431-54706-8
• No. of pages: 138
• Dimensions: 155 mm x 8 mm x 235 mm
• Weight: 242 g
• Illustrations: XIV, 138 p.
• Series: Springer Theses; Springer Theses
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Theoretical physics; B, ENERGY, Energy technology & engineering, String Theory, Theoretical, Mathematical and Computational Physics, Quantum physics (quantum mechanics & quantum field theory), Physics and Astronomy, Quantum field theory, Elementary particles (Physics), Elementary Particles, Quantum Field Theory, Mathematical physics, Electrical Power Engineering, Energy, general, Quantum Field Theories, String Theory, Energy technology and engineering