Scaling Limits of the Chern-simons-higgs Energy

@inproceedings{Spirn2006ScalingLO,
  title={Scaling Limits of the Chern-simons-higgs Energy},
  author={Daniel Spirn},
  year={2006}
}
We continue our study in [16] of the Gamma limit of the Abelian Chern-Simons-Higgs energy Gcsh := 1 2 ∫ U |∇Aεuε| 2 + με 4 |curlAε − hex| |uε| + 1 ε2 |uε|(1− |uε|)dx on a bounded, simply connected, two dimensional domain where ε → 0 and με → μ ∈ [0,+∞]. Under the critical scaling, Gcsh ≈ |log ε|, we establish the Gamma limit when μ ∈ (0,+∞], and as a… CONTINUE READING