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03035nam a22004815i 4500 |
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978-3-642-38565-0 |
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DE-He213 |
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20210618230614.0 |
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cr nn 008mamaa |
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130719s2013 gw | s |||| 0|eng d |
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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 519
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|a Wang, C.B.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Application of Integrable Systems to Phase Transitions
|h [electronic resource] /
|c by C.B. Wang.
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|a 1st ed. 2013.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 2013.
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|a X, 219 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
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|a online resource
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|a text file
|b PDF
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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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|a Mathematical physics.
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| 650 |
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|a Special functions.
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|a Mathematical Applications in the Physical Sciences.
|0 https://scigraph.springernature.com/ontologies/product-market-codes/M13120
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|a Special Functions.
|0 https://scigraph.springernature.com/ontologies/product-market-codes/M1221X
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|a Mathematical Physics.
|0 https://scigraph.springernature.com/ontologies/product-market-codes/M35000
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| 710 |
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|a SpringerLink (Online service)
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|t Springer Nature eBook
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|i Printed edition:
|z 9783642440243
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|i Printed edition:
|z 9783642385667
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|i Printed edition:
|z 9783642385643
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|u https://doi.org/10.1007/978-3-642-38565-0
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|a ZDB-2-SMA
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| 912 |
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|a ZDB-2-SXMS
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| 950 |
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|a Mathematics and Statistics (SpringerNature-11649)
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| 950 |
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|a Mathematics and Statistics (R0) (SpringerNature-43713)
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