Dirac Spectra in Dense QCD

Takuya Kanazawa (Autor)

Buch | Hardcover

138 Seiten

2012
Springer Verlag, Japan
978-4-431-54164-6 (ISBN)

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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.

Dr. Takuya Kanazawa Department of Physics University of Regensburg Universitätsstraße 31 93053 Regensburg Deutschland/Germany

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

Erscheint lt. Verlag	2.11.2012
Reihe/Serie	Springer Theses ; 124
Zusatzinfo	XIV, 138 p.
Verlagsort	Tokyo
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Hochenergiephysik / Teilchenphysik
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
	Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
	Technik ► Elektrotechnik / Energietechnik
Schlagworte	BCS Gap • chiral perturbation theory • Chiral Random Matrix Theory • Large-N Limit of Strong Non-Hermiticity • Leutwyler-Smilga Spectral Sum Rules • Microscopic Spectral Density • Prize winning thesis • QCD-like Theories at High Density • QCD Thesis • Two-color QCD
ISBN-10	4-431-54164-0 / 4431541640
ISBN-13	978-4-431-54164-6 / 9784431541646
Zustand	Neuware