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Autore: |
Wang C. B
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Titolo: |
Application of integrable systems to phase transitions / / C.B. Wang
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Pubblicazione: | New York, : Springer, 2013 |
Edizione: | 1st ed. |
Descrizione fisica: | 1 online resource (x, 219 pages) : illustrations |
Disciplina: | 530.474 |
Soggetto topico: | Phase transformations (Statistical physics) |
Statistical physics | |
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 |
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