Solitons in gauge theories: Existence and dependence on the charge
In this paper we review recent results on the existence of non-topological solitons in classical relativistic nonlinear field theories. We follow the Coleman approach, which is based on the existence of two conservation laws, energy and charge. In particular we show that under mild assumptions on th...
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De Gruyter
2014-09-01
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| Series: | Advances in Nonlinear Analysis |
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| Online Access: | https://doi.org/10.1515/anona-2013-0032 |
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doaj-b52a52ddee4f4b9591e056d6f9ea71572021-09-06T19:39:53ZengDe GruyterAdvances in Nonlinear Analysis2191-94962191-950X2014-09-013S1s1s1810.1515/anona-2013-0032Solitons in gauge theories: Existence and dependence on the chargeBonanno Claudio0Dipartimento di Matematica, Università di Pisa, Largo Bruno Pontecorvo 5, 56127 Pisa, ItalyIn this paper we review recent results on the existence of non-topological solitons in classical relativistic nonlinear field theories. We follow the Coleman approach, which is based on the existence of two conservation laws, energy and charge. In particular we show that under mild assumptions on the nonlinear term it is possible to prove the existence of solitons for a set of admissible charges. This set has been studied for the nonlinear Klein–Gordon equation, and in this paper we state new results in this direction for the Klein–Gordon–Maxwell system.https://doi.org/10.1515/anona-2013-0032solitary wavesgauge field theoriesorbital stabilityminimization problems35k8635b4535b5142b2049n60 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Bonanno Claudio |
| spellingShingle |
Bonanno Claudio Solitons in gauge theories: Existence and dependence on the charge Advances in Nonlinear Analysis solitary waves gauge field theories orbital stability minimization problems 35k86 35b45 35b51 42b20 49n60 |
| author_facet |
Bonanno Claudio |
| author_sort |
Bonanno Claudio |
| title |
Solitons in gauge theories: Existence and dependence on the charge |
| title_short |
Solitons in gauge theories: Existence and dependence on the charge |
| title_full |
Solitons in gauge theories: Existence and dependence on the charge |
| title_fullStr |
Solitons in gauge theories: Existence and dependence on the charge |
| title_full_unstemmed |
Solitons in gauge theories: Existence and dependence on the charge |
| title_sort |
solitons in gauge theories: existence and dependence on the charge |
| publisher |
De Gruyter |
| series |
Advances in Nonlinear Analysis |
| issn |
2191-9496 2191-950X |
| publishDate |
2014-09-01 |
| description |
In this paper we review recent results on the existence of non-topological solitons in classical relativistic nonlinear field theories. We follow the Coleman approach, which is based on the existence of two conservation laws, energy and charge. In particular we show that under mild assumptions on the nonlinear term it is possible to prove the existence of solitons for a set of admissible charges. This set has been studied for the nonlinear Klein–Gordon equation, and in this paper we state new results in this direction for the Klein–Gordon–Maxwell system. |
| topic |
solitary waves gauge field theories orbital stability minimization problems 35k86 35b45 35b51 42b20 49n60 |
| url |
https://doi.org/10.1515/anona-2013-0032 |
| work_keys_str_mv |
AT bonannoclaudio solitonsingaugetheoriesexistenceanddependenceonthecharge |
| _version_ |
1717769821691576320 |