Dirac spectra in dense QCD

by Kanazawa, Takuya

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Title Statements

Full title :Dirac spectra in dense QCD / Takuya Kanazawa.

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.

Edition Statements

Publication Date:©2013.

Publication Statements

Publisher(s):Springer
Place of Publication:Heidelberg
Language:eng
Publication Date:©2013.

The Physical Object

Description:1 online resource

Edition Identifiers

ISBN:9784431541653, 4431541659, 4431541640, 9784431541646
oclc:ocn821216776
LC Classification:QC793.3.Q35
Dewey Decimal:539.7/548

Subjects

Academic theses Astronomie Chromodynamique quantique dissertations doctoral dissertations masters theses Physique Quantum chromodynamics TECHNOLOGY & ENGINEERING -- Power Resou… theses Thèses et écrits académiques