Application of Integrable Systems to Phase Transitions.pdf

Application of Integrable Systems to Phase Transitions

C. B. Wang

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.

This formulation has the advantage of treating the system as an example of a ... study the distinct phase transitions in incommensurate systems without the use of ... g ¹ b, also defines a nonlinear Hamiltonian system, which is non-integrable [6]. Apr 4, 2020 ... from its application to the realm of interacting many-body systems. ... this system displays a quantum phase transition [25–28] and admits a proper ... energy regime, a natural question concerns possible non-integrable ...

6.69 MB DATEIGRÖSSE
3642385648 ISBN
Englisch SPRACHE
Application of Integrable Systems to Phase Transitions.pdf

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Monodromy and excited-state quantum phase transitions in integrable systems: collective vibrations of nuclei. Pavel Cejnar1, Michal Macek1, Stefan Heinze2, ...

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Application of Integrable Systems to Phase … Application of Integrable Systems to Phase Transitions C.B. Wang (auth.) 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.

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