Existence of energy minimizers as stable knotted solitons in the Faddeev model

From MaRDI portal
Publication:1885615

DOI10.1007/s00220-004-1110-yzbMath1065.81118OpenAlexW2043034007MaRDI QIDQ1885615

Yisong Yang, Fang-Hua Lin

Publication date: 11 November 2004

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-004-1110-y



Related Items

Investigation of the Nicole model, Soliton stability in some knot soliton models, Spin-charge separation, conformal covariance and the \(\text{SU}(2)\) Yang-Mills theory, THE PONTRJAGIN–HOPF INVARIANTS FOR SOBOLEV MAPS, Static knot energy, Hopf charge, and universal growth law, Energy splitting, substantial inequality, and minimization for the Faddeev and Skyrme models, Magnetic skyrmions under confinement, Global solutions of the evolutionary Faddeev model with small initial data, Knots in physics, Abelian Hopfions of the \(\mathbb{CP}^n\) model on \(\mathbb{R}^{2n+1}\) and a fractionally powered topological lower bound, Hopfions, Comment on: ``Reduction of static field equation of Faddeev model to first order PDE [Phys. Lett. B 652 (2007) 384], NEW INTERPRETATION OF SKYRME THEORY, Generalized eikonal knots and new integrable dynamical systems, A quantitative description of skyrmions in ultrathin ferromagnetic films and rigidity of degree \(\pm 1\) harmonic maps from \(\mathbb{R}^2\) to \(\mathbb{S}^2\), Global nonlinear stability of one kind of large solutions to evolutionary Faddeev model, A new approximation of relaxed energies for harmonic maps and the Faddeev model, Existence of 2D Skyrmions, Hopf solitons and Hopf Q-balls on \(S^{3}\), The Faddeev knots as stable solitons: existence theorems, GAUGE THEORY OF FADDEEV–SKYRME FUNCTIONALS, DECOMPOSITION OF SU(2) CONNECTION AND KNOT STRUCTURE IN SKYRME–FADDEEV MODEL, Knots in the Skyrme–Faddeev model, Analytical solutions of Skyrme model, Existence criteria for baby skyrmions for a wide range of potentials, HOPF SOLITON SOLUTIONS FROM LOW ENERGY EFFECTIVE ACTION OF SU(2) YANG–MILLS THEORY, ON A MINIMIZING PROPERTY OF THE HOPF SOLITON IN THE FADDEEV–SKYRME MODEL, Universal growth law for knot energy of Faddeev type in general dimensions, Revisit of the Faddeev model in dimension two, Hopf solitons in the Nicole model, Erratum: Existence of 3D Skyrmions



Cites Work