"Matrix-Modell" . . "Matrix-Modell." . "Functions, Special." . . . . "Mathematical Applications in the Physical Sciences." . . "Integrables System" . . "Integrables System." . "Théorie quantique Mathématiques." . . "Special Functions." . . "Phasenumwandlung" . . "Phasenumwandlung." . "Mathematics." . . . . . "Libros electrónicos" . . . . . . . . . . . . . "Electronic books" . "Electronic books"@en . . . . . . . . . . . . . "Application of integrable systems to phase transitions" . "Application of integrable systems to phase transitions"@en . . "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."@en . . . . . . . . . . "Mathematical Physics." . . "Méthodes d'analyse matricielle." . . "Fonctions propres." . . "Transitions de phase." . . "SCIENCE / Physics / Condensed Matter" . .