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phi^4 Kinks - Gradient Flow and Dynamics

arXiv:hep-th/9605038 · doi:10.1088/0951-7715/10/1/002

Abstract

The symmetric dynamics of two kinks and one antikink in classical (1+1)-dimensional $ϕ^4$ theory is investigated. Gradient flow is used to construct a collective coordinate model of the system. The relationship between the discrete vibrational mode of a single kink, and the process of kink-antikink pair production is explored.

23 pages, LaTex, 11 eps figures. We have added some clarification of our method