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Titlebook: Dirac Spectra in Dense QCD; Takuya Kanazawa Book 2013 Springer Japan 2013 BCS Gap.Chiral Perturbation Theory.Chiral Random Matrix Theory.L

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书目名称Dirac Spectra in Dense QCD
编辑Takuya Kanazawa
视频video
概述Summarizes in a coherent manner the full content of the author‘s research on applications of random matrix theory to QCD, which was originally published in separate papers.Contains a reader-friendly,
丛书名称Springer Theses
图书封面Titlebook: Dirac Spectra in Dense QCD;  Takuya Kanazawa Book 2013 Springer Japan 2013 BCS Gap.Chiral Perturbation Theory.Chiral Random Matrix Theory.L
描述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.
出版日期Book 2013
关键词BCS Gap; Chiral Perturbation Theory; Chiral Random Matrix Theory; Large-N Limit of Strong Non-Hermitici
版次1
doihttps://doi.org/10.1007/978-4-431-54165-3
isbn_softcover978-4-431-54706-8
isbn_ebook978-4-431-54165-3Series ISSN 2190-5053 Series E-ISSN 2190-5061
issn_series 2190-5053
copyrightSpringer Japan 2013
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J. D. Blankensteijn,William M. Abbott M.D.ry and its spontaneous breaking are reviewed. The Banks-Casher relation is emphasized as the key link between symmetry breaking and near-zero Dirac eigenvalues. The correspondence of chiral perturbation theory in the e-regime to chiral random matrix theory is briefly explained, followed by a summary
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J. F. Belch MD FRCP,P. McCollum FRCSgh density and low temperature is reviewed and unsolved problems on the QCD phase diagram are presented. In the second section readers are introduced to QCD with the gauge group SU(2) (called two-color QCD), and the similarities to and differences between this theory and the standard three-color QCD
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https://doi.org/10.1007/978-3-642-72527-2 at large isospin density (.) and QCD with real quarks at large quark density (.), with “complex” and “real” referring to the representation of quarks under the gauge transformation. Namely two non-Hermitian chiral random matrix theories (ChRMT) are successfully identified that reduce, in the large-
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