Téléchargez le livre : Application of Integrable Systems to Phase Transitions

Application of Integrable Systems to Phase Transitions

Éditeur :

Springer

Paru le : 2013-07-20

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...
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Description du livre


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.

À propos

Auteur
C.B. Wang
Éditeur
Springer
Collection
n.c
Parution
2013-07-20
Pages
219 pages
EAN papier
9783642385643

Auteur(s) du livre


Defaut-Illustration C.B. Wang
The author obtained his Ph.D in mathematics at University of Pittsburgh in 1998. Then he worked at University of California, Davis, as a visiting research assistant professor for one year before he started working in industry.  The Marcenko-Pastur distribution in econophysics inspired him to search a unified model for the eigenvalue densities in the matrix models. The phase transition models discussed in this book are based on the Gross-Witten third-order phase transition model and the researches on transition problems in complex systems and data clustering.  He is now a data scientist at Institute of Analysis, MI, USA. Email: chiebingwang@yahoo.com

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EAN EPUB
9783642385650
Prix
52,74 €
Nombre pages copiables
2
Nombre pages imprimables
21
Taille du fichier
2990 Ko
Ce livre est accessible aux handicaps informations d'accessibilité

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