Abstract
We prove the existence of multisolitons in the gauged self-dual Maxwell and Chern–Simons sigma models with broken symmetry. In the context of topological solutions, the existence proofs rely on established results on earlier models. In the context of nontopological solutions with radial symmetry, the proof is by adapting a shooting argument.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Arthur, K., Tchrakian, D. H. and Yang, Y.: Topological and non-topological self-dual Chern– Simons solitons in a gauged O(3) sigma model, Phys. Rev. D, 54 (1996), 5245.
Chen, X., Hastings, S., McLeod, J. B. and Yang, Y.: A nonlinear elliptic equation arising from gauge field theory and cosmology, Proc. Roy. Soc. London, Ser. A, 446 (1994), 453.
Dunne, G.: Self-Dual Chern–Simons Theories, Lecture Notes in Phys. 36, Springer, Berlin, 1995.
Ghosh, P. K. and Ghosh, S. K.: Topological and non-topological solitons in a gauged O(3) sigma model with Chern–Simons term, Phys. Lett. B 366 (1996), 199.
Gladikowski, J.: Topological Chern–Simons vortices in the gauged O(3) sigma model, Z. Phys. C, to appear.
Hong, J., Kim, Y. and Pac, P. Y.: On the multivortex solutions of the Abelian Chern–Simons Higgs theory, Phys. Rev. Lett. 64 (1990), 2230.
Jackiw R. and Weinberg, E. J.: Self-dual Chern–Simons vortices, Phys. Rev. Lett. 64 (1990), 2234.
Jackiw, R., Lee, K. and Weinberg, E. J.: Self-dual Chern–Simons solitons, Phys. Rev. D 42 (1990), 3488.
Jaffe, A. and Taubes, C. H.: Vortices and Monopoles, Birkhäuser, Boston, 1980.
Kimm, K., Lee, K. and Lee, T.: Anyonic Bogomol'nyi soliton in a gauged O(3) sigma model, Preprint, hep-th/9610141.
Schroers, B. J.: Bogomol'nyi solitons in a gauged O(3) sigma model, Phys. Lett. B 356 (1995), 291.
Schroers, B. J.: The spectrum of Bogomol'nyi solitons in gauged linear sigma models, Nuclear Phys. B 475 (1996), 440.
Spruck, J. and Yang, Y.: Topological solutions in the self-dual Chern–Simons theory: existence and approximation, Ann. Inst. H. Poincaré Anal. Non Linéaire 12 (1995), 75.
Spruck, J. and Yang, Y.: The existence of non-topological solitons in the self-dual Chern–Simons theory, Comm. Math. Phys. 149 (1992), 361.
Yang, Y.: A necessary and sufficient condition for the existence of multisolitons in a self-dual gauged sigma model, Comm. Math. Phys., 181 (1996), 485.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Yang, Y. The existence of Solitons in Gauged Sigma Models with Broken Symmetry: Some Remarks. Letters in Mathematical Physics 40, 177–189 (1997). https://doi.org/10.1023/A:1007363726173
Issue Date:
DOI: https://doi.org/10.1023/A:1007363726173