On Bogomolny Equations in the Skyrme Model

  title={On Bogomolny Equations in the Skyrme Model},
  author={Ł. T. Stȩpień},
  journal={Acta Physica Polonica B},
Using the concept of strong necessary conditions (CSNC), we derive a complete decomposition of the minimal Skyrme model into a sum of three coupled BPS submodels with the same topological bound. The bounds are saturated if corresponding Bogomolny equations, different for each submodel, are obeyed. 
1 Citations
Non-Hermitian gauge field theories and BPS limits
We present an overview of some key results obtained in a recent series devoted to non-Hermitian quantum field theories for which we systematically modify the underlying symmetries. Particular


Bogomolny equation for the BPS Skyrme model from strong necessary conditions
We present a systematic tool for derivation of the Bogomolny equation for the BPS Skyrme model. Furthermore, we find a generalization of the Bogomolny equation to the case corresponding with a
On Bogomolny equations in generalized gauged baby BPS Skyrme models
Using the concept of strong necessary conditions (CSNC), we derive Bogomolny equations and BPS bounds for two modifications of the gauged baby BPS Skyrme model: the nonminimal coupling to the gauge
The Existence of Bogomolny Decompositions for Gauged $O(3)$ Nonlinear "sigma" Model and for Gauged Baby Skyrme Models
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
The existence of Bogomolny decomposition for baby Skyrme models
We derive the Bogomolny decompositions (Bogomolny equations) for: full baby Skyrme model and for its restricted version (so called, pure baby Skyrme model), in (2+0) dimensions, by using so called,
It is still unknown whether there are families of tight knots whose lengths grow faster than linearly with crossing numbers, but the largest power has been reduced to 3/z, and some other physical models of knots as flattened ropes or strips which exhibit similar length versus complexity power laws are surveyed.
- int
  • Medicine
  • 2004
The cooperation with leading scientists from all fields of research and higher education and ministers for research in Germany and the experience of giving expert advice to the federal and the state governments in Germany were very interesting experiences.
  • Lett. B 769, 362
  • 2017
  • Oliver Bendel
  • Les noms officiels des communes de Wallonie, de Bruxelles-Capitale et de la communaute germanophone
  • 1896
Topological Solitons
  • Cambridge University Press
  • 2004
  • R. Soc. London A 260, 127
  • 1961