Application of Integrable Systems to Phase Transitions
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.
| Autor: | Wang, C.B. |
|---|---|
| ISBN: | 9783642440243 |
| Sprache: | Englisch |
| Seitenzahl: | 219 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer Berlin |
| Veröffentlicht: | 09.08.2015 |
| Schlagworte: | Integrable system Large-N asymptotics Matrix model Phase transition Planar diagram Power-law Seiberg-Witten theory String equation Toda lattice Unified model |
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