Physics NotePublished
The Stability of the Classical Skyrme Model SU(2) Hedgehog Soliton
Juan Alberto Mignaco; Stenio Wulck
1989
Publication details
- Authors
- Juan Alberto Mignaco; Stenio Wulck
- Type
- Physics Note
- Status
- Published
- Publication date
- 1989
- Description
- We show the exact power series solution at the origin for the classical SU(2) Skyrme model lagrangean with a hedgehog ansatz. We consider also the analogous solution at infinity, and exhibit the dependence of the chiral angle on two dimensionless variables (a consequence of having two completely arbitrary parameters). The classical Skyrme model soliton turns out to be as unstable as the pure non-linear sigma model.When the Skyrme parameter is fixed, breaking the scale invariance on both variables the mass of the soliton has a stable minimum.
- Year
- 1989
- Number
- CBPF-NF-047/89
- Linked to a thesis
- No
- Linked to a grant
- No