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Self-dual Chern-Simons vortices. (English) Zbl 1050.81595

Summary: We study vortex solutions in an Abelian Chern-Simons theory with spontaneous symmetry breaking. We show that for a specific choice of the Higgs potential the vortex satisfies a set of Bogomol’nyi-type, or “self-duality,” equations.

MSC:

81T13 Yang-Mills and other gauge theories in quantum field theory
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[1] R. Jackiw, Phys. Rev. D 23 pp 2291– (1981) · doi:10.1103/PhysRevD.23.2291
[2] J. Schonfeld, Nucl. Phys. B185 pp 157– (1981) · doi:10.1016/0550-3213(81)90369-2
[3] S. Deser, Phys. Rev. Lett. 48 pp 975– (1982) · doi:10.1103/PhysRevLett.48.975
[4] S. Deser, Ann. Phys. (N.Y.) 140 pp 372– (1982) · doi:10.1016/0003-4916(82)90164-6
[5] S. Deser, Ann. Phys. (N.Y.) 185 pp 406– (1988)
[6] R. Pisarski, Phys. Rev. D 32 pp 2081– (1985) · doi:10.1103/PhysRevD.32.2081
[7] S. Paul, Phys. Lett. 171B pp 244– (1986) · doi:10.1016/0370-2693(86)91541-8
[8] S. Paul, Phys. Lett. 174B pp 420– (1986) · doi:10.1016/0370-2693(86)91028-2
[9] S. Paul, Phys. Lett. B 182 pp 414– (1986)
[10] H. Nielsen, Nucl. Phys. B61 pp 45– (1973) · doi:10.1016/0550-3213(73)90350-7
[11] , B. Julia and A. Zee, Phys. Rev. D 11 pp 2227– (1975)
[12] C. Hagen, Ann. Phys. (N.Y.) 157 pp 342– (1984) · doi:10.1016/0003-4916(84)90064-2
[13] C. Hagen, Phys. Rev. D 31 pp 2135– (1985) · doi:10.1103/PhysRevD.31.2135
[14] S. Deser, Mod. Phys. Lett. A 4 pp 2123– (1989) · doi:10.1142/S0217732389002380
[15] G. Dunne, Ann. Phys. (N.Y.) 194 pp 197– (1989) · doi:10.1016/0003-4916(89)90036-5
[16] E. B. Bogomol’nyi, Sov. J. Nucl. Phys. 24 pp 449– (1976)
[17] H. deVega, Phys. Rev. D 14 pp 1100– (1976) · doi:10.1103/PhysRevD.14.1100
[18] L. Jacobs, Phys. Rev. B 19 pp 4486– (1978) · doi:10.1103/PhysRevB.19.4486
[19] E. Weinberg, Phys. Rev. D 19 pp 3008– (1979) · doi:10.1103/PhysRevD.19.3008
[20] J. Hong, Phys. Rev. Lett. 64 pp 2230– (1990) · Zbl 1014.58500 · doi:10.1103/PhysRevLett.64.2230
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