Titlebook: Critical Phenomena in Loop Models; Adam Nahum Book 2015 Springer International Publishing Switzerland 2015 CP^{n-1} Model.Completely-packe

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https://doi.org/10.1007/978-3-663-02783-6The loop models at . have the special property that the nodes are uncorrelated (in the absence of the extra interaction described in the previous chapter) so that the critical behaviour is purely geometrical.

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Completely Packed Loop Models,We begin with a class of three-dimensional loop models that show transitions between two types of phase—one with infinite loops, and one with only short loops.

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Topological Terms, Quantum Magnets and Deconfined Criticality,We saw in the previous chapter that the completely-packed loop models are described by lattice magnets in which the Boltzmann weight is generically complex.

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The Statistics of Vortex Lines,The loop models at . have the special property that the nodes are uncorrelated (in the absence of the extra interaction described in the previous chapter) so that the critical behaviour is purely geometrical.

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Loop Models with Crossings in 2D,It is tempting to think that two-dimensional critical phenomena are completely classified and understood, thanks to conformal field theory and other exact techniques, but this is far from true.

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