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math-phJul 10, 2003
18
citations (OpenAlex)
authors
  • P. Bizon
  • Yu N. Ovchinnikov
  • I. M. Sigal
institutions
  • Landau Institute for Theoretical Physics
  • University of Notre Dame
  • University of Toronto
arXiv abstractPDF
paper

Collapse of an Instanton

arXiv:math-ph/0307026 · doi:10.1088/0951-7715/17/4/003

Abstract

We construct a two parameter family of collapsing solutions to the 4+1 Yang-Mills equations and derive the dynamical law of the collapse. Our arguments indicate that this family of solutions is stable. The latter fact is also supported by numerical simulations.

arXiv comment17 pages, 1 figure

References in corpus (2)

  • On blowup for Yang-Mills fields
  • Fast and Slow Blowup in the S^2 Sigma Model and (4+1)-Dimensional Yang-Mills Model

Cited by in corpus (8)

  • Renormalization and blow up for charge one equivariant critical wave maps
  • Generic self-similar blowup for equivariant wave maps and Yang-Mills fields in higher dimensions
  • On Spectra of Linearized Operators for Keller-Segel Models of Chemotaxis
  • On collapse of wave maps
  • A globally stable self-similar blowup profile in energy supercritical Yang-Mills theory
  • Critical collapse of a spherically symmetric ultrarelativistic fluid in 2+1 dimensions
  • Interaction and collision of skyrmions in chiral antiferromagnets
  • Characteristic approach to the soliton resolution
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