Energy splitting, substantial inequality, and minimization for the Faddeev and Skyrme models
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Publication:882995
DOI10.1007/s00220-006-0123-0zbMath1113.81096OpenAlexW1999585467MaRDI QIDQ882995
Publication date: 31 May 2007
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00220-006-0123-0
Model quantum field theories (81T10) Nuclear physics (81V35) Yang-Mills and other gauge theories in quantum field theory (81T13)
Related Items (12)
\(\sigma _2\)-diffeomorphisms between 4-dimensional annuli ⋮ Compactness results for static and dynamic chiral skyrmions near the conformal limit ⋮ Topological energy bounds for the Skyrme and Faddeev models with massive pions ⋮ On the existence of baby skyrmions stabilized by vector mesons ⋮ Global solutions of the evolutionary Faddeev model with small initial data ⋮ On the distributional Jacobian of maps from \(\mathbb{S}^N\) into \(\mathbb{S}^N\) in fractional Sobolev and Hölder spaces ⋮ 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 ⋮ Existence criteria for baby skyrmions for a wide range of potentials ⋮ ON A MINIMIZING PROPERTY OF THE HOPF SOLITON IN THE FADDEEV–SKYRME MODEL ⋮ Revisit of the Faddeev model in dimension two
Cites Work
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- Best constant in Sobolev inequality
- Problèmes isoperimetriques et espaces de Sobolev
- Existence of energy minimizers as stable knotted solitons in the Faddeev model
- Existence of two-dimensional Skyrmions via the concentration-compactness method
- Particle states of a quantized meson field
- A non-linear field theory
- Hopf solitons onS3and3
- Knots as Stable Soliton Solutions in a Three-Dimensional Classical Field Theory
- On a low energy bound in a class of chiral field theories with solitons
- Minimum Value for c in the Sobolev Inequality $\| {\phi ^3 } \|\leqq c\| {\nabla \phi } \|^3 $
- An Expression of Hopf's Invariant as an Integral
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