Nielsen–Olesen vortex

In theoretical physics, a Nielsen–Olesen vortex is a point-like object localized in two spatial dimensions or, equivalently, a classical solution of field theory with the same property. This particular solution occurs if the configuration space of scalar fields contains non-contractible circles. A circle surrounding the vortex at infinity may be "wrapped" once on the other circle in the configuration space. A configuration with this non-trivial topological property is called the Nielsen–Olesen vortex, after Holger Bech Nielsen and Poul Olesen (1973). The solution is formally identical to the solution of Quantum vortex in superconductor.

See also

• Nielsen–Olsen string
• Abrikosov vortex
• Montonen–Olive duality
• S-duality

References

• H. B. Nielsen and P. Olesen (1973). "Vortex-line models for dual strings". Nuclear Physics B. 61: 45–61. Bibcode:1973NuPhB..61...45N. doi:10.1016/0550-3213(73)90350-7.
• Kulshreshtha, Usha (2007). "Light-front Hamiltonian, path integral and BRST formulations of the Nielsen-Olesen (Bogomolnyi) model in the light-cone gauges". International Journal of Theoretical Physics. Int.J.Theor.Phys. 46, 2516-2530. 46 (10): 2516–2530. Bibcode:2007IJTP...46.2516K. doi:10.1007/s10773-007-9367-5. S2CID 121645705.
• Kulshreshtha, Usha; Kulshreshtha, D.S. (2004). "The front-form Hamiltonian and BRST formulations of the Nielsen-Olesen model in the broken symmetry phase". Canadian Journal of Physics. Can.J.Phys. 82, 569-583. 82: 569. Bibcode:2004CaJPh..82..569K. doi:10.1139/p03-048.