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Titlebook: Application of Integrable Systems to Phase Transitions; C.B. Wang Book 2013 Springer-Verlag Berlin Heidelberg 2013 Integrable system.Large

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发表于 2025-3-21 16:20:49 | 显示全部楼层 |阅读模式
期刊全称Application of Integrable Systems to Phase Transitions
影响因子2023C.B. Wang
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发行地址First book in the field of matrix models to apply integrable systems to solve the phase transition problems.The only book to date to provide a unified model for the densities of eigenvalues in quantum
图书封面Titlebook: Application of Integrable Systems to Phase Transitions;  C.B. Wang Book 2013 Springer-Verlag Berlin Heidelberg 2013 Integrable system.Large
影响因子.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..
Pindex Book 2013
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发表于 2025-3-22 00:19:42 | 显示全部楼层
Densities in Hermitian Matrix Models,ions and asymptotics. In this chapter, a new purpose of the generalized Hermite polynomials will be discussed in detail. The Lax pair obtained from the generalized Hermite polynomials can be applied to formulate the eigenvalue densities in the Hermitian matrix models with a general potential. The La
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Densities in Unitary Matrix Models,g densities are the most popular density models in QCD for studying the third-order phase transition problems, which are related to asymptotic freedom and confinement. For the Gross-Witten weak and strong coupling densities and the generalizations to be discussed in this chapter, it should be noted
发表于 2025-3-22 14:52:43 | 显示全部楼层
Transitions in the Unitary Matrix Models,itten third-order phase transition is described in association with the string equation in the unitary matrix model, and it will be generalized by considering the higher degree potentials. The critical phenomena (second-order divergences) and third-order divergences are discussed similarly to the cr
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Book 2013ferential 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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发表于 2025-3-23 05:41:36 | 显示全部楼层
a unified model for the densities of eigenvalues in quantum.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 consequentl
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