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

Jackiw, R.; Weinberg, Erick J.

Phys. Rev. Lett. 64, No. 19, 2234-2237 (1990).

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

References:

[1]	R. Jackiw, Phys. Rev. D 23 pp 2291– (1981)
[2]	J. Schonfeld, Nucl. Phys. B185 pp 157– (1981)
[3]	S. Deser, Phys. Rev. Lett. 48 pp 975– (1982)
[4]	S. Deser, Ann. Phys. (N.Y.) 140 pp 372– (1982)
[5]	S. Deser, Ann. Phys. (N.Y.) 185 pp 406– (1988)
[6]	R. Pisarski, Phys. Rev. D 32 pp 2081– (1985)
[7]	S. Paul, Phys. Lett. 171B pp 244– (1986)
[8]	S. Paul, Phys. Lett. 174B pp 420– (1986)
[9]	S. Paul, Phys. Lett. B 182 pp 414– (1986)
[10]	H. Nielsen, Nucl. Phys. B61 pp 45– (1973)
[11]	, B. Julia and A. Zee, Phys. Rev. D 11 pp 2227– (1975)
[12]	C. Hagen, Ann. Phys. (N.Y.) 157 pp 342– (1984)
[13]	C. Hagen, Phys. Rev. D 31 pp 2135– (1985)
[14]	S. Deser, Mod. Phys. Lett. A 4 pp 2123– (1989)
[15]	G. Dunne, Ann. Phys. (N.Y.) 194 pp 197– (1989)
[16]	E. B. Bogomol’nyi, Sov. J. Nucl. Phys. 24 pp 449– (1976)
[17]	H. deVega, Phys. Rev. D 14 pp 1100– (1976)
[18]	L. Jacobs, Phys. Rev. B 19 pp 4486– (1978)
[19]	E. Weinberg, Phys. Rev. D 19 pp 3008– (1979)
[20]	J. Hong, Phys. Rev. Lett. 64 pp 2230– (1990) · Zbl 1014.58500