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010 $a3-642-38565-6
024 7 $a10.1007/978-3-642-38565-0
035 $a(OCoLC)853663817
035 $a(MiFhGG)GVRL6UOH
035 $a(EXLCZ)992670000000533791
100 $a20130718d2013 uy 0
101 0 $aeng
135 $aurun|---uuuua
181 $ctxt
182 $cc
183 $acr
200 10$aApplication of integrable systems to phase transitions /$fC.B. Wang
205 $a1st ed. 2013.
210 1$aHeidelberg, Germany :$cSpringer,$d2013.
215 $a1 online resource (x, 219 pages) $cillustrations
225 0 $aGale eBooks
300 $aDescription based upon print version of record.
311 $a3-642-38564-8
311 $a3-642-44024-X
320 $aIncludes bibliographical references and index.
327 $aIntroduction -- 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.
330 $aThe 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.
606 $aPhase transformations (Statistical physics)
606 $aEigenfunctions
606 $aMatrix analytic methods
606 $aQuantum theory$xMathematics
615 0$aPhase transformations (Statistical physics)
615 0$aEigenfunctions.
615 0$aMatrix analytic methods.
615 0$aQuantum theory$xMathematics.
676 $a510
676 $a515.5
676 $a519
676 $a530.15
700 $aWang$b C.B$4aut$4http://id.loc.gov/vocabulary/relators/aut$01061514
801 0$bMiFhGG
801 1$bMiFhGG
906 $aBOOK
912 $a9910437879603321
996 $aApplication of Integrable Systems to Phase Transitions$92518998
997 $aUNINA