A singular radial connection over \(\mathbb B^5\) minimizing the Yang-Mills energy

DOI10.1007/s00526-014-0799-5zbMath1456.58015arXiv1306.6763OpenAlexW2464010177MaRDI QIDQ493201

Mircea Petrache

Publication date: 11 September 2015

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.6763

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of global analysis to structures on manifolds (57R57) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Integral geometry (53C65) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

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The resolution of the Yang-Mills plateau problem in super-critical dimensions

Cites Work

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• Interior partial regularity for minimal $L^p$-vector fields with integer fluxes
• Gauge Theory in higher dimensions, II
• Maximal Flow Through a Network
• Non-existence and uniqueness results for boundary value problems for Yang-Mills connections

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