The bond-algebraic approach to dualities

An algebraic theory of dualities is developed based on the notion of bond algebras. It deals with classical and quantum dualities in a unified fashion explaining the precise connection between quantum dualities and the low temperature (strong-coupling)/high temperature (weak-coupling) dualities of c...

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Bibliographic Details
Published in:	Advances in physics Vol. 60; no. 5; pp. 679 - 798
Main Authors:	Cobanera, Emilio, Ortiz, Gerardo, Nussinov, Zohar
Format:	Journal Article
Language:	English
Published:	Abingdon Taylor & Francis 01.10.2011 Taylor & Francis Ltd
Subjects:	03.65.Fd Algebraic methods 05.30.-d Quantum statistical mechanics 05.50.+q Lattice theory and statistics 64.60.Cn Order-disorder transformations Algebra Algorithms bond algebras, operator algebras Bonding Classical and quantum physics: mechanics and fields dimensional reduction Exact sciences and technology fermionization field theory Gages gauge theories Gauges High temperature Lattice theory Logic, set theory, and algebra Low temperature Mapping Mathematical methods in physics Mathematical models Other topics in mathematical methods in physics Phase boundaries phase transitions Physics quantum and classical dualities Quantum mechanics Quantum physics statistical mechanics Transformations Quantum system Dimensionality Symmetry property Path integral Heisenberg model Strong coupling High temperature Quantum size effect Structural models Continuum Local structure Classical mechanics Phase boundaries Lattice field theory Lattice model Transfer matrix method Statistical mechanics Classical theory Mathematical physics Gauge field theory Quantum theory Crystal structure
ISSN:	0001-8732, 1460-6976
Online Access:	Get full text
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