The existence of Bogomolny decompositions for gauged baby Skyrme models
نویسنده
چکیده
The Bogomolny decompositions (Bogomolny equations) for the gauged baby Skyrme models: restricted and full one, in (2+0)-dimensions, are derived, for some general classes of the potentials. The conditions, which must be satisfied by the potentials, for each of these mentioned models, are also derived.
منابع مشابه
0 Monopoles and dyons in SO ( 3 ) gauged Skyrme models
Three dimensional SO(3) gauged Skyrme models characterised by specific potentials imposing special asymptotic values on the chiral field are considered. These models are shown to support finite energy solutions with nonvanishing magnetic and electrix flux, whose energies are bounded from below by two distinct charges – the magnetic (monopole) charge and a non-integer version of the Baryon charg...
متن کامل/ 01 09 03 4 v 2 2 1 Ja n 20 02 The 1 - soliton in the SO ( 3 ) gauged Skyrme model with mass term
The solitons of the SO(3) gauged Skyrme model with no pion-mass potential were studied in Refs. [1, 2]. Here, the effects of the inclusion of this potential are studied. In contrast with the (ungauged) Skyrme model, where the effect of this potential on the solitons is marginal, here it turns out to be decisive, resulting in very different dependence of the energy as a function of the Skyrme co...
متن کامل2 00 1 Comment on the soliton of the SO ( 3 ) gauged Skyrme model
The solitons of the SO(3) gauged Skyrme model with no pion-mass potential were studied in Refs. [1, 2]. Here, the effects of the inclusion of this potential are studied. In contrast with the (ungauged) Skyrme model, where the effect of this potential on the solitons is marginal, here it turns out to be decisive, resulting in very different dependence of the energy as a function of the Skyrme co...
متن کاملBaby Skyrme models for a class of potentials
We consider a class of (2+1) dimensional baby Skyrme models with potentials that have more than one vacum. These potentials are generalisations of old and new baby Skyrme models; they involve more complicated dependence on φ3. We find that when the potential is invariant under φ3 −→ −φ3 the configurations corresponding to the baby skyrmions lying “on top of each other” are the minima of the ene...
متن کاملA Skyrme Lattice with Hexagonal Symmetry
Recently it has been found that the structure of Skyrmions has a close analogy to that of fullerene shells in carbon chemistry. In this letter we show that this analogy continues further, by presenting a Skyrme field that describes a lattice of Skyrmions with hexagonal symmetry. This configuration, a novel ‘domain wall’ in the Skyrme model, has low energy per baryon (about 6% above the Faddeev-...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2014