On the Strong Coupling Limit of the Faddeev-Hopf Model

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dc.creatorSpeight, J. M.
dc.creatorSvensson, M.
dc.date2006-05-18
dc.date.accessioned2026-07-07T10:26:11Z
dc.date.available2026-07-07T10:26:11Z
dc.descriptionThe variational calculus for the Faddeev-Hopf model on a general Riemannian domain, with general Kaehler target space, is studied in the strong coupling limit. In this limit, the model has key similarities with pure Yang-Mills theory, namely conformal invariance in dimension 4 and an infinite dimensional symmetry group. The first and second variation formulae are calculated and several examples of stable solutions are obtained. In particular, it is proved that all immersive solutions are stable. Topological lower energy bounds are found in dimensions 2 and 4. An explicit description of the spectral behaviour of the Hopf map S^3 -> S^2 is given, and a conjecture of Ward concerning the stability of this map in the full Faddeev-Hopf model is proved.
dc.description21 pages, 0 figures
dc.identifierhttps://arxiv.org/abs/math/0605516
dc.identifierhttp://arxiv.org/abs/math/0605516
dc.identifierCommun.Math.Phys.272:751-773,2007
dc.identifierdoi:10.1007/s00220-007-0240-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/176792
dc.subjectDifferential Geometry
dc.subjectHigh Energy Physics - Theory
dc.subject58E99; 81T99
dc.titleOn the Strong Coupling Limit of the Faddeev-Hopf Model
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