Publications

Authors:

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

Title:

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

Year:

2025

Type of item:

Articolo in Rivista

Tipologia ANVUR:

Articolo su rivista

Language:

Inglese

Format:

A Stampa

Referee:

Sì

Name of journal:

ADVANCES IN CALCULUS OF VARIATIONS

ISSN of journal:

1864-8258

N° Volume:

18

Number or Folder:

1

Page numbers:

95-141

Keyword:

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

Short description of contents:

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.

Web page:

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

Product ID:

141028

Handle IRIS:

11562/1136086

Last Modified:

May 8, 2025

Bibliographic citation:

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

Consulta la scheda completa presente nel repository istituzionale della Ricerca di Ateneo