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- W4366999369 abstract "We consider a gauge-invariant Ginzburg-Landau functional (also known as Abelian Yang-Mills-Higgs model) on Hermitian line bundles over closed Riemannian manifolds of dimension $n geq 3$. Assuming a logarithmic energy bound in the coupling parameter, we study the asymptotic behaviour of critical points in the non-self dual scaling, as the coupling parameter tends to zero. After a convenient choice of the gauge, we show compactness of finite-energy critical points in Sobolev norms. Moreover, %independently of the gauge andthanks to a suitable monotonicity formula,we prove that the energy densities of critical points, rescaled by the logarithm of the coupling parameter, concentrate towards the weight measure of a stationary, rectifiable varifold of codimension~2." @default.
- W4366999369 created "2023-04-27" @default.
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- W4366999369 date "2023-04-22" @default.
- W4366999369 modified "2023-10-11" @default.
- W4366999369 title "The Yang-Mills-Higgs functional on complex line bundles: asymptotics for critical points" @default.
- W4366999369 doi "https://doi.org/10.48550/arxiv.2304.11346" @default.
- W4366999369 hasPublicationYear "2023" @default.
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