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130719s2013 gw | s |||| 0|eng d |
| 020 |
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|a 9783642385650
|9 978-3-642-38565-0
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|a 10.1007/978-3-642-38565-0
|2 doi
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|a QC19.2-20.85
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|a PBWH
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|a MAT003000
|2 bisacsh
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|a 519
|2 23
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|a Wang, C.B.
|e author.
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|a Application of Integrable Systems to Phase Transitions
|c by C.B. Wang.
|h [electronic resource] /
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| 264 |
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 2013.
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| 300 |
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|a X, 219 p. 10 illus.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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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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|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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| 650 |
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|a Mathematics.
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| 650 |
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|a Functions, special.
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| 650 |
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|a Mathematics.
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| 650 |
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|a Mathematical Applications in the Physical Sciences.
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| 650 |
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|a Special Functions.
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| 650 |
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|a Mathematical Physics.
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| 710 |
2 |
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|a SpringerLink (Online service)
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|t Springer eBooks
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| 776 |
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|i Printed edition:
|z 9783642385643
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| 856 |
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|u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-38565-0
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| 912 |
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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