Abstract
We establish the existence and uniqueness of radially symmetric self-dual topological vortices in thep=2 members of the hierarchies of (generalised) Chern-Simons Higgs and Abelian Higgs models. We also obtain all possible symmetric nontopological vortices in the Chern-Simons model characterised by an additional parameter governing the decay rates of the fields.
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References
JaffeA. and TaubesC. H.:Monopoles and Vortices, Birkhauser, Basel, 1980.
HongJ., KimY. and PacP. Y.:Phys. Rev. Lett. 64 (1990) 2230; Jackiw, R. and Weinberg, E.J.:Phys. Rev. Lett. 64 (1990) 2234.
JackiwR., LeeK. and WeinbergE. J.:Phys. Rev. D42 (1990) 3488.
JacobsL. and RebbiC.:Phys. Rev. B19 (1979) 4486.
BurzlaffJ., ChakrabartiA. and TchrakianD. H.:Phys. Lett. B 293 (1992) 127.
BurzlaffJ., ChakrabartiA. and TchrakianD. H.:J. Phys. A: Math. Gen. 27 (1994) 1617.
ChenX., HastingsS., McLeodJ. B. and YangY.:Proc. Roy. Soc. A 446 (1994) 453.
SpruckJ. and YangY.:Comm. Math. Phys. 149 (1992) 361.
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Supported in part by CEC under grant HCM-ERBCHRXCT930362.
Supported in part by NSF under grant DMS-9400243.
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Tchrakian, D.H., Yang, Y. The existence of generalised self-dual Chern-Simons vortices. Lett Math Phys 36, 403–413 (1996). https://doi.org/10.1007/BF00714405
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DOI: https://doi.org/10.1007/BF00714405