Application of integrable systems to phase transitions / / C.B. Wang

• Autore: Wang C.B
• Pubblicazione: Heidelberg, Germany : , : Springer, , 2013
• Edizione: 1st ed. 2013.
• Descrizione fisica: 1 online resource (x, 219 pages) : illustrations
• Disciplina: 510; 515.5; 519; 530.15
• Soggetto topico: Phase transformations (Statistical physics); Eigenfunctions; Matrix analytic methods; Quantum theory - Mathematics
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Introduction -- Densities in Hermitian Matrix Models -- Bifurcation Transitions and Expansions -- Large-N Transitions and Critical Phenomena -- Densities in Unitary Matrix Models -- Transitions in the Unitary Matrix Models -- Marcenko-Pastur Distribution and McKay’s Law.
• Sommario/riassunto: 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.
• Titolo autorizzato: Application of Integrable Systems to Phase Transitions
• ISBN: 3-642-38565-6
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910437879603321
• Lo trovi qui: Univ. Federico II