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Weak Skyrmions and sphalerons |
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| Authors: | Yves Brihaye Jutta Kunz Fanny Mousset |
| Affiliation: | 1. Department of Mathematical Physics, Mons University, Av. Maistriau, B-7000, Mons, Belgium 2. Institute for Theoretical Physics, University of Utrecht, NL-3508 TA, Utrecht, The Netherlands 3. FB Physik, University of Oldenburg, P.O. Box 2503, W-2900, Oldenburg, Federal Republic of Germany |
| Abstract: | When the gauged non-linear  -model is supplemented by a Skyrme term stable as well as unstable classical solutions exist: weak Skyrmions and sphalerons. Without the Skyrme term there remains only a sequence of sphalerons, which can be continued to finite Higgs masses. Here we investigate a model containing both, a finite Higgs mass and a Skyrme term. Stable weak Skyrmion solutions occur only above critical values of the Higgs mass and the Skyrme coupling constant. |
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