Namkwon Kim 2006 Nonlinearity 19 721 doi:10.1088/0951-7715/19/3/010
Namkwon Kim
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We study rigorously the static (2 + 1)D gauged linear sigma model introduced by Schroers. Analysing the governing system of partial differential equations, we show the existence of energy finite vortices under the partially broken symmetry on R2 with some conditions consistent with the necessary conditions given by Yang. Also, with a special choice of representation, we show that the gauged O(3) sigma model is a singular limit of the gauged linear sigma model.
11.10.Lm Nonlinear or nonlocal theories and models
81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)
Issue 3 (March 2006)
Received 20 April 2005, in final form 16 January 2006
Published 3 February 2006
Namkwon Kim 2006 Nonlinearity 19 721
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