Fast and slow blowup in theS2σ-model and the (4+1)-dimensional Yang-Mills model

DOI10.1088/0951-7715/15/2/301zbMath1006.81052arXivmath-ph/0105024OpenAlexW1973268794MaRDI QIDQ4533433

Lorenzo Sadun, Jean Marie Linhart

Publication date: 11 June 2002

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0105024

zbMATH Keywords

singularity formationadiabatic limitgeodesic approximationcharge-one and charge-two sector

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Model quantum field theories (81T10) Second-order nonlinear hyperbolic equations (35L70) Yang-Mills and other gauge theories in quantum field theory (81T13) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (7)

The adiabatic limit of wave map flow on a two-torus ⋮ Quantum lump dynamics on the two-sphere ⋮ The geodesic approximation for lump dynamics and coercivity of the Hessian for harmonic maps ⋮ A Globally Stable Self-Similar Blowup Profile in Energy Supercritical Yang-Mills Theory ⋮ Stable self-similar blowup in energy supercritical Yang-Mills theory ⋮ On collapse of wave maps ⋮ On the formation of singularities in the critical \(O(3)\) \(\sigma \)-model

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