Haldane limits via Lagrangian embeddings
Citation:
Dmitri Bykov, Haldane limits via Lagrangian embeddings, Nuclear Physics B, 855, 1, 2012, 100-127Download Item:
Abstract:
In the present paper we revisit the so-called Haldane limit, i.e. a particular continuum limit, which leads from a spin chain to a sigma model. We use the coherent state formulation of the path integral to reduce the problem to a semiclassical one, which leads us to the observation that the Haldane limit is closely related to a Lagrangian embedding into the classical phase space of the spin chain. Using this property, we find a spin chain whose limit produces a relativistic sigma model with target space the manifold of complete flags U(3)/U3(1). We discuss possible other future applications of Lagrangian/isotropic embeddings in this context.
Author's Homepage:
http://people.tcd.ie/bykovdhttp://people.tcd.ie/bykovd
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PUBLISHED
Author: BYKOV, DMITRI VLADIMIROVICH
Publisher:
ElsevierType of material:
Journal ArticleSeries/Report no:
Nuclear Physics B;855;
1;
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Full text availableKeywords:
Mathematics, Haldane limitMetadata
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