Sigma models coupled with Abelian gauge fields

D. O'Keeffe; D. H. Tchrakian; Yisong Yang

doi:10.1063/1.532596

Sigma models coupled with Abelian gauge fields

D. O'Keeffe, D. H. Tchrakian, Yisong Yang

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Two distinct Skyrme terms for the CP¹ model are defined, only one of which preserves the equivalence with the corresponding O(3) model. A gauging prescription in which the composite connection of the CP¹ model is replaced by the U(1) gauge connection is defined. A U(1) gauged CP¹ model and two distinct U(1) gauged CP¹ models with Skyrme terms are defined. The existence of topologically stable vortices in each of the three U(1) gauged models is proved analytically.

Original language	English (US)
Pages (from-to)	5824-5831
Number of pages	8
Journal	Journal of Mathematical Physics
Volume	39
Issue number	11
DOIs	https://doi.org/10.1063/1.532596
State	Published - Nov 1998

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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year = "1998",

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AU - Yang, Yisong

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AB - Two distinct Skyrme terms for the CP1 model are defined, only one of which preserves the equivalence with the corresponding O(3) model. A gauging prescription in which the composite connection of the CP1 model is replaced by the U(1) gauge connection is defined. A U(1) gauged CP1 model and two distinct U(1) gauged CP1 models with Skyrme terms are defined. The existence of topologically stable vortices in each of the three U(1) gauged models is proved analytically.

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Sigma models coupled with Abelian gauge fields

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