Classical, discrete spin models: symmetry, duality, and renormalization / Hendrik Moraal

Auteur: Moraal, Hendrik (1945-) - AuteurType de document: Livre numériqueCollection: Lecture notes in physics, (Online) ; 214Langue: anglaisÉditeur: Berlin : Springer-Verlag, 1984 ISBN: 9783540138969 Note: The book under review is devoted to the problem of symmetry, duality, and renormalization of classical, discrete spin models used extensively in mathematics and theoretical physics. The author discusses in detail the symmetry groups of spin models and the group-theoretical properties of these groups, in particular, their subgroups, products of permissible groups and their construction with the help of graphs, and also primitive and imprimitive permissible groups and regular groups. The problem of duality, namely, the relation between duality transformations and dual models, and also the problem of renormalization of pseudo-lattices are presented in the book. (Zentralblatt) Sujets MSC: 20H15 Group theory and generalizations -- Other groups of matrices -- Other geometric groups, including crystallographic groups
20-02 Group theory and generalizations -- Research exposition (monographs, survey articles)
81T60 Quantum theory -- Quantum field theory; related classical field theories -- Supersymmetric field theories
En-ligne: Springerlink | Zentralblatt | MathSciNet

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The book under review is devoted to the problem of symmetry, duality, and renormalization of classical, discrete spin models used extensively in mathematics and theoretical physics. The author discusses in detail the symmetry groups of spin models and the group-theoretical properties of these groups, in particular, their subgroups, products of permissible groups and their construction with the help of graphs, and also primitive and imprimitive permissible groups and regular groups. The problem of duality, namely, the relation between duality transformations and dual models, and also the problem of renormalization of pseudo-lattices are presented in the book. (Zentralblatt)

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