Local monotonicity for the Yang-Mills-Higgs flow

Ahmad Afuni

Local monotonicity for the Yang-Mills-Higgs flow

Analysis of PDEs 2015-06-08 v1 Mathematical Physics Differential Geometry math.MP

Authors: Ahmad Afuni

Abstract

A local monotonicity formula for the Yang-Mills-Higgs flow on $G$ -bundles over $\mathbb{R}^{n}$ ( $n>4$ ) is proved. It is shown that the monotone quantity co\"incides on certain self-similar solutions with that appearing in existing non-local monotonicity formul\ae\ for the Yang-Mills and Yang-Mills-Higgs flows.

Keywords

yang-mills theory geodesic flow

Cite

@article{arxiv.1506.01975,
  title  = {Local monotonicity for the Yang-Mills-Higgs flow},
  author = {Ahmad Afuni},
  journal= {arXiv preprint arXiv:1506.01975},
  year   = {2015}
}

Comments

14 pages

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