Application of Integrable Systems to Phase Transitions - Couverture souple

Wang, C.B.

 
9783642440243: Application of Integrable Systems to Phase Transitions
Couverture souple
ISBN 10 : 364244024X ISBN 13 : 9783642440243
Editeur : Springer, 2015

Synopsis

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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À propos de l?auteur

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

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2015
Langue
anglais
ISBN 10 
364244024X
ISBN 13 
9783642440243
Reliure
Broché
Nombre de pages
232
Coordonnées du fabricant
non disponible
Personne responsable
CMN Printpool Inh. Mathis Neumann
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Hamburg
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9783642385643: Application of Integrable Systems to Phase Transitions

Edition présentée

ISBN 10 :  3642385648 ISBN 13 :  9783642385643
Editeur : Springer-Verlag Berlin and Heide..., 2013
Couverture rigide