Application of Integrable Systems to Phase Transitions (Repost)
C.B. Wang, "Application of Integrable Systems to Phase Transitions"
English | 2013-07-30 | ISBN: 3642385648 | 222 pages | PDF | 2.1 mb
English | 2013-07-30 | ISBN: 3642385648 | 222 pages | PDF | 2.1 mb
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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