Pubblicazioni

Autori:

Canevari, Giacomo; Dipasquale, Federico Luigi; Orlandi, Giandomenico

Titolo:

The Yang–Mills–Higgs functional on complex line bundles: Asymptotics for critical points

Anno:

2025

Tipologia prodotto:

Articolo in Rivista

Tipologia ANVUR:

Articolo su rivista

Lingua:

Inglese

Formato:

A Stampa

Referee:

Sì

Nome rivista:

ADVANCES IN CALCULUS OF VARIATIONS

ISSN Rivista:

1864-8258

N° Volume:

18

Numero o Fascicolo:

1

Intervallo pagine:

95-141

Parole chiave:

Ginzburg–Landau functional; complex line bundles; London limit; stationary varifolds; monotonicity formula; Yang–Mills–Higgs functional

Breve descrizione dei contenuti:

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 ≥ 3 . Assuming a logarithmic energy bound in the coupling parameter, we study the asymptotic behaviour of critical points in the London limit. After a convenient choice of the gauge, we show compactness of finite-energy critical points in Sobolev norms. Moreover, thanks to a suitable monotonicity formula, we prove that the energy densities of critical points, rescaled by the logarithm of the coupling parameter, converge to the weight measure of a stationary, rectifiable varifold of codimension 2.

Pagina Web:

https://www.degruyter.com/document/doi/10.1515/acv-2023-0064/html

Id prodotto:

141028

Handle IRIS:

11562/1136086

ultima modifica:

8 maggio 2025

Citazione bibliografica:

Canevari, Giacomo; Dipasquale, Federico Luigi; Orlandi, Giandomenico, The Yang–Mills–Higgs functional on complex line bundles: Asymptotics for critical points «ADVANCES IN CALCULUS OF VARIATIONS» , vol. 18 , n. 1 , 2025 , pp. 95-141

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