2009/11/30 by C. Adam, C Adam, J. Sanchez-Guillen +5
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Bound state #Cosmology and Gravitation Theories #Limit (mathematics) #Minkowski space #Quantum Mechanics and Non-Hermitian Physics #Space (punctuation) #Spacetime #Upper and lower bounds #hep-th #math-ph #math.MP #nlin.SI
paper · pdf · doi:10.1088/1751-8113/43/34/345402
published as J.Phys.A43:345402,2010 · Latex, 25 pages, 9 figures, extensive revision; a section on the comparison with the full model added
arxiv created 2010/05/10 · openalex publication_date 2010/07/19 · arxiv updated 2014/11/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The strongly coupled limit of the Skyrme–Faddeev–Niemi model (i.e. without quadratic kinetic term) with a potential is considered on the spacetime . For one-vacuum potentials two types of exact Hopf solitons are obtained. Depending on the value of the Hopf index, we find compact or non-compact hopfions. The compact hopfions saturate a Bogomolny bound and lead to a fractional energy–charge formula E ∼ | Q | 1/2 , whereas the non-compact solitons do not saturate the bound and give E ∼ | Q |. In the case of potentials with two vacua compact shell-like hopfions are derived. Some remarks on the influence of the potential on topological solutions in the full Skyrme–Faddeev–Niemi model or in the (3 + 1) Minkowski space are also made.