Solitons in gauge theories: Existence and dependence on the charge

Advances in Nonlinear Analysis

Bonanno Claudio¹ 

[1] Dipartimento di Matematica, Università di Pisa, Largo Bruno Pontecorvo 5, 56127 Pisa, Italy;

关键词: solitary waves;    gauge field theories;    orbital stability;    minimization problems;    35k86;    35b45;    35b51;    42b20;    49n60;   

DOI  :  10.1515/anona-2013-0032

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown