{"product_id":"9783642385643","title":"Application of Integrable Systems to Phase Transitions","description":"\u003ch1\u003eApplication of Integrable Systems to Phase Transitions\u003c\/h1\u003e \u003ch2\u003eWang, C.B.\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe 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.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2013-07-30\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783642385643\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-642-38565-0\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 219\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":46547513442444,"sku":"9783642385643","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783642385643.jpg?v=1775828293","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783642385643","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}