Application of Integrable Systems to Phase Transitions

Wang, C.B.

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.

Details

Published by: Springer

Publication Date: 2015-08-09

Format: Paperback

ISBN-13: 9783642440243

DOI: 10.1007/978-3-642-38565-0

Dimensions: 235cm x155cm

Pages: 219