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Application of Integrable Systems to Phase Transitions - Tapa blanda

Wang, C.B.

 
9783642440243: Application of Integrable Systems to Phase Transitions
Tapa blanda
ISBN 10: 364244024X ISBN 13: 9783642440243
Editorial: Springer, 2015

Sinopsis

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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Acerca del autor

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

De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2015
Idioma
Inglés
ISBN 10 
364244024X
ISBN 13 
9783642440243
Encuadernación
Tapa blanda
Número de páginas
232
Contacto del fabricante
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Otras ediciones populares con el mismo título

9783642385643: Application of Integrable Systems to Phase Transitions

Edición Destacada

ISBN 10:  3642385648 ISBN 13:  9783642385643
Editorial: Springer, 2013
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