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Application of Integrable Systems to Phase Transitions / by C.B. Wang
版 | 1st ed. 2013. |
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出版者 | (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer) |
出版年 | 2013 |
本文言語 | 英語 |
大きさ | X, 219 p : online resource |
著者標目 | *Wang, C.B author SpringerLink (Online service) |
件 名 | LCSH:Mathematical physics LCSH:Special functions FREE:Mathematical Physics FREE:Special Functions |
一般注記 | Introduction -- Densities in Hermitian Matrix Models -- Bifurcation Transitions and Expansions -- Large-N Transitions and Critical Phenomena -- Densities in Unitary Matrix Models -- Transitions in the Unitary Matrix Models -- Marcenko-Pastur Distribution and McKay’s Law The eigenvalue densities in various matrix models in quantum chromodynamics (QCD) are ultimately unified in this book by a unified model derived from the integrable systems. Many new density models and free energy functions are consequently solved and presented. The phase transition models including critical phenomena with fractional power-law for the discontinuities of the free energies in the matrix models are systematically classified by means of a clear and rigorous mathematical demonstration. The methods here will stimulate new research directions such as the important Seiberg-Witten differential in Seiberg-Witten theory for solving the mass gap problem in quantum Yang-Mills theory. The formulations and results will benefit researchers and students in the fields of phase transitions, integrable systems, matrix models and Seiberg-Witten theory HTTP:URL=https://doi.org/10.1007/978-3-642-38565-0 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783642385650 |
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EB00230085 |
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データ種別 | 電子ブック |
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分 類 | LCC:QC19.2-20.85 DC23:530.15 |
書誌ID | 4000118623 |
ISBN | 9783642385650 |
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