Classical, discrete spin models : symmetry, duality, and renormalization / Hendrik Moraal
Type de document : Livre numériqueCollection : Lecture notes in physics, 214Langue : anglais.Éditeur : Berlin : Springer-Verlag, 1984ISBN: 9783540138969.ISSN: 1616-6361.Sujet MSC : 20H15, Group theory - Other groups of matrices, Other geometric groups, including crystallographic groups20-02, Research exposition (monographs, survey articles) pertaining to group theory
81T60, Quantum theory, Supersymmetric field theories in quantum mechanicsEn-ligne : Springerlink | Zentralblatt | MathSciNet
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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