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...

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Autor principal: Wang, C. B.
Formato: Livre numérique
Idioma:Anglais
Publicado em: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edição:1st ed. 2013.
Acesso em linha:Accès sur la plateforme de l'éditeur
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Nota: Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Application of integrable systems to phase transitions, C.B. Wang, Heidelberg, Springer, 2013, 1 vol. ( X - 219 p.), 3-642-38564-8
• Application of Integrable Systems to Phase Transitions, Texte imprimé, 9783642385667
• Application of Integrable Systems to Phase Transitions, Texte imprimé, 9783642440243
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245 1 0 |a Application of integrable systems to phase transitions   |c by C.B. Wang. 
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505 1 |a 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 
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520 |a 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 
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