ENGLISH

Application of integrable systems to phase transitions

By C.B. Wang (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2013
ISBN
978-3-642-38564-3, 978-3-642-38565-0
DOI
10.1007/978-3-642-38565-0
Language
english
Format
PDF
Filesize
1 MB (1360693 bytes)
Edition
1
Pages
219\222
Library
Kolxo3
Time added
2013-12-29 19:00:00
Mathematical Applications in the Physical Sciences

Description

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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