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False vacuum decay in kink scattering

A. R. Gomes, F. C. Simas, K. Z. Nobrega, P. P. Avelino

Abstract
In this work we consider kink-antikink and antikink-kink collisions in a modified ϕ^4 model with a false vacuum characterized by a dimensionless parameter ϵ. The usual ϕ^4 model is recovered for ϵ = 0. We investigate the ϵ ≪ 1 regime where the kink in the presence of false vacuum can be understood as a small deformation of the standard kink for the ϕ^4 model. We show that the attractive interaction between the kink-antikink pair leads to a rich scattering pattern, in some cases delaying considerably the false vacuum decay.

Keywords
Solitons Monopoles and Instantons; Field Theories in Lower Dimensions; Nonperturbative Effects; High Energy Physics - Theory

Journal of High Energy Physics
Volume 2018, Number 10
2018 October

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Instituto de Astrofísica e Ciências do Espaço Universidade do Porto Faculdade de Ciências da Universidade de Lisboa
Fundação para a Ciência e a Tecnologia COMPETE 2020 PORTUGAL 2020 União Europeia