Application of Integrable Systems to Phase Transitions

Wang, C.B.:

ISBN 10: 364244024X / ISBN 13: 9783642440243

Published by Springer, 2015

About this Item

232 Seiten; 9783642440243.2 Gewicht in Gramm: 500.

Seller Inventory # 1221133

Bibliographic Details

• Title: Application of Integrable Systems to Phase Transitions
• Publisher: Springer
• Publication Date: 2015
• Language: English
• ISBN 10: 364244024X
• ISBN 13: 9783642440243
• Binding: paperback
• Condition: Sehr gut
• Weight: 500 grams
• Seller catalogs:
  • Varia

About this title

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.

About the Author

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