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Oscillons and Quasi-breathers in the \phi^4 Klein-Gordon model

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arxiv hep-th/0609023 v1 pith:CRBTS3PW submitted 2006-09-04 hep-th gr-qchep-ph

classification hep-thgr-qchep-ph
keywords quasi-breatherslocalizedklein-gordonoscillonoscillonssolutionsstatesweakly
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Strong numerical evidence is presented for the existence of a continuous family of time-periodic solutions with ``weak'' spatial localization of the spherically symmetric non-linear Klein-Gordon equation in 3+1 dimensions. These solutions are ``weakly'' localized in space in that they have slowly decaying oscillatory tails and can be interpreted as localized standing waves (quasi-breathers). By a detailed analysis of long-lived metastable states (oscillons) formed during the time evolution it is demonstrated that the oscillon states can be quantitatively described by the weakly localized quasi-breathers.It is found that the quasi-breathers and their oscillon counterparts exist for a whole continuum of frequencies.

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Cited by 3 Pith papers

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