







1. 
Record Nr. 
UNINA9910437879603321 


Autore 
Wang C.B 


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





Pubbl/distr/stampa 


Heidelberg, Germany : , : Springer, , 2013 







ISBN 






Edizione 
[1st ed. 2013.] 





Descrizione fisica 

1 online resource (x, 219 pages) : illustrations 






Collana 






Disciplina 








Soggetti 

Phase transformations (Statistical physics) 
Eigenfunctions 
Matrix analytic methods 
Quantum theory  Mathematics 








Lingua di pubblicazione 






Formato 
Materiale a stampa 





Livello bibliografico 
Monografia 





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  LargeN Transitions and Critical Phenomena  Densities in Unitary Matrix Models  Transitions in the Unitary Matrix Models  MarcenkoPastur 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 powerlaw 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 SeibergWitten differential in SeibergWitten theory for solving the mass gap problem in quantum YangMills theory. The formulations and results will benefit researchers and students in the fields of phase transitions, integrable systems, matrix models and SeibergWitten theory. 






