Local monotonicity for the Yang-Mills-Higgs flow

Ahmad Afuni

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arXiv · 1506.01975

Local monotonicity for the Yang-Mills-Higgs flow

Ahmad Afuni

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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.

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Ahmad Afuni. 2015-06-05. Local monotonicity for the Yang-Mills-Higgs flow. https://arxiv.org/abs/1506.01975

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