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130802 ||| eng |
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|a 9783642385650
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| 100 |
1 |
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|a Wang, C.B.
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| 245 |
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|a Application of Integrable Systems to Phase Transitions
|h Elektronische Ressource
|c by C.B. Wang
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| 250 |
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|a 1st ed. 2013
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| 260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 2013, 2013
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| 300 |
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|a X, 219 p
|b online resource
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| 505 |
0 |
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|a 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
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| 653 |
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|a Special Functions
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| 653 |
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|a Mathematical Physics
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| 653 |
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|a Mathematical physics
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| 653 |
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|a Special functions
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 028 |
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|a 10.1007/978-3-642-38565-0
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| 856 |
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|u https://doi.org/10.1007/978-3-642-38565-0?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 530.15
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| 520 |
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|a 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
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