Topological solutions in the self-dual Chern-Simons theory : existence and approximation
Spruck, Joel ; Yang, Yisong
Annales de l'I.H.P. Analyse non linéaire, Tome 12 (1995), p. 75-97 / Harvested from Numdam
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@article{AIHPC_1995__12_1_75_0,
     author = {Spruck, Joel and Yang, Yisong},
     title = {Topological solutions in the self-dual Chern-Simons theory : existence and approximation},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     volume = {12},
     year = {1995},
     pages = {75-97},
     mrnumber = {1320569},
     zbl = {0836.35007},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPC_1995__12_1_75_0}
}

Spruck, Joel; Yang, Yisong. Topological solutions in the self-dual Chern-Simons theory : existence and approximation. Annales de l'I.H.P. Analyse non linéaire, Tome 12 (1995) pp. 75-97. http://gdmltest.u-ga.fr/item/AIHPC_1995__12_1_75_0/

[1] E. Bogomol'Nyi, The stability of classical solutions, Sov. J. Nucl. Phys., Vol. 24, 1976, pp. 449-454. | MR 443719

[2] H.J. De Vega and F. Schaposnik, Electrically charged vortices in nonabelian gauge theories with Chern-Simons term, Phys. Rev. Lett., Vol. 56, 1986, pp. 2564-2566. | MR 845964

[3] J. Fröhlich and P. Marchetti, Quantum field theory of anyons, Lett. Math. Phys., Vol. 16, 1988, pp. 347-358. | MR 974482 | Zbl 0695.58031

[4] J. Fröhlich and P. Marchetti, Quantum field theory of vortices and anyons, Commun. Math. Phys., Vol. 121, 1989, pp. 177-223. | MR 985396 | Zbl 0819.58045

[5] D. Gilbarg and N. Trudinger, Elliptic Partial Differential Equations of Second Order, Springer, Berlin, 1977. | MR 473443 | Zbl 0361.35003

[6] J. Hong, Y. Kim and P. Pac, Multivortex solutions of the abelian Chern-Simons-Higgs theory, Phys. Rev. Lett., Vol. 64, 1990, pp. 2230-2233. | MR 1050529 | Zbl 1014.58500

[7] R. Jackiw, Solitons in Chern-Simons/anyons systems, Preprint. | MR 1118210

[8] R. Jackiw, K. Lee and E. Weinberg, Self-dual Chern-Simons solitons, Phys. Rev. D., Vol. 42, 1990, pp. 3488-3499. | MR 1084551

[9] R. Jackiw, S.-Y. Pi and E. Weinberg, Topological and non-topological solitons in relativistic and non-relativistic Chern-Simons theory, Preprint.

[10] R. Jackiw and E. Weinberg, Self-dual Chern-Simons vortices, Phys. Rev. Lett., Vol. 64, 1990, pp. 2234-2237. | MR 1050530 | Zbl 1050.81595

[11] A. Jaffe and C.H. Taubes, Vortices and Monopoles, Birkhaüser, Boston, 1980. | MR 614447 | Zbl 0457.53034

[12] B. Julia and A. Zee, Poles with both magnetic and electric charges in nonabelian gauge theory, Phys. Rev. D., Vol. 11, 1975, pp. 2227-2232.

[13] H. Nielsen and P. Olesen, Vortex-line models for dual-strings, Nucl. Phys. B, Vol. 61, 1973, pp. 45-61.

[14] S. Paul and A. Khare, Charged vortices in an abelian Higgs model with Chern-Simons term, Phys. Lett. B, Vol. 174, 1986, pp. 420-422. | MR 855612

[15] S. Paul and A. Khare, Charged vortex of finite energy in nonabelian gauge theories with Chern-Simons term, Phys. Lett. B, Vol. 178, 1986, pp. 395-399. Annales de l'Institut Henri Poincaré - Analyse non linéaire | MR 898176

[16] J. Spruck and Y. Yang, The existence of non-topological solitons in the self-dual Chern-Simons theory, Commun. Math. Phys., Vol. 149, 1992, pp. 361-376. | MR 1186034 | Zbl 0760.53063

[17] C. Taubes, On the equivalence of the first and second order equations for gauge theories, Commun. Math. Phys., Vol. 75, 1980, pp. 207-227. | MR 581946 | Zbl 0448.58029

[18] R. Wang, The existence of Chern-Simons vortices, Commun. Math. Phys., Vol. 137, 1991, pp. 587-597. | MR 1105432 | Zbl 0733.58009

[19] S. Wang and Y. Yang, Abrikosov's vortices in the critical coupling, SIAM J. Math. Anal., Vol. 23, 1992, pp. 1125-1140. | MR 1177781 | Zbl 0753.35111

[20] S. Wang and Y. Yang, Solutions of the generalized Bogomol'nyi equations via monotone iterations, J. Math. Phys., Vol. 33, 1992, pp. 4239-4249. | MR 1191785 | Zbl 0767.35085