Algebraic Analysis of Solvable Lattice Models is popular PDF and ePub book, written by Michio Jimbo in 1995, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Algebraic Analysis of Solvable Lattice Models can be Read Online from any device for your convenience.
Algebraic Analysis of Solvable Lattice Models Book PDF Summary
Based on the NSF-CBMS Regional Conference lectures presented by Miwa in June 1993, this book surveys recent developments in the interplay between solvable lattice models in statistical mechanics and representation theory of quantum affine algebras. Because results in this subject were scattered in the literature, this book fills the need for a systematic account, focusing attention on fundamentals without assuming prior knowledge about lattice models or representation theory. After a brief account of basic principles in statistical mechanics, the authors discuss the standard subjects concerning solvable lattice models in statistical mechanics, the main examples being the spin 1/2 XXZ chain and the six-vertex model. The book goes on to introduce the main objects of study, the corner transfer matrices and the vertex operators, and discusses some of their aspects from the viewpoint of physics. Once the physical motivations are in place, the authors return to the mathematics, covering the Frenkel-Jing bosonization of a certain module, formulas for the vertex operators using bosons, the role of representation theory, and correlation functions and form factors. The limit of the XXX model is briefly discussed, and the book closes with a discussion of other types of models and related works.
Detail Book of Algebraic Analysis of Solvable Lattice Models PDF
- Author : Michio Jimbo
- Release : 21 September 1995
- Publisher : American Mathematical Soc.
- ISBN : 9780821803202
- Genre : Mathematics
- Total Page : 180 pages
- Language : English
- PDF File Size : 19,6 Mb
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