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Catalogue Information
Field name	Details
Dewey Class	519
Title	Application of Integrable Systems to Phase Transitions (EB) / by C.B. Wang.
Author	Wang, Chie Bing
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer
Publication	, 2013.
Physical Details	X, 219 pages : 10 illus. : online resource.
ISBN	9783642385650
Summary Note	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.:
Contents note	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 McKayâs Law.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-642-38565-0
Links to Related Works	Subject References: Functions, Special . Mathematical Applications in the Physical Sciences . Mathematical modelling . Mathematical Physics . Mathematics . Special Functions . Authors: Wang, Chie Bing . Corporate Authors: SpringerLink (Online service) . Classification: 519 .

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Application of Integrable Systems to Phase Transitions

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