Application of Integrable Systems to Phase Transitions
Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Applied
| Author: | C.B. Wang | ISBN: | 9783642385650 |
| Publisher: | Springer Berlin Heidelberg | Publication: | July 20, 2013 |
| Imprint: | Springer | Language: | English |
| Author: | C.B. Wang |
| ISBN: | 9783642385650 |
| Publisher: | Springer Berlin Heidelberg |
| Publication: | July 20, 2013 |
| Imprint: | Springer |
| Language: | English |
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.
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.
