The Dynamics of Chern-Simons Vortices
May, 2008Citations per year
Abstract: (arXiv)
We study vortex dynamics in three-dimensional theories with Chern-Simons interactions. The dynamics is governed by motion on the moduli space M in the presence of a magnetic field. For Abelian vortices, the magnetic field is shown to be the Ricci form over M/ for non-Abelian vortices, it is the first Chern character of a suitable index bundle. We derive these results by integrating out massive fermions and following the fate of their zero modes.- 11.27.+d
- 11.10.Kk
- gauge field theory: U(N)
- Chern-Simons term
- field theory: scalar
- fermion: zero mode
- spontaneous symmetry breaking
- field equations: solution
- moduli space
- effective potential
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