Abstract
In this work we consider kink-antikink and antikink-kink collisions in a modified ϕ4 model with a false vacuum characterized by a dimensionless parameter ϵ. The usual ϕ4 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 ϕ4 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.
Highlights
In this work we consider kink-antikink and antikink-kink collisions in a modified φ4 model with a false vacuum characterized by a dimensionless parameter
We investigate the 1 regime where the kink in the presence of false vacuum can be understood as a small deformation of the standard kink for the φ4 model
In this work we have studied the effect of kink scattering in the false vacuum decay
Summary
We consider the action in (1, 1)-dimensions in Minkowski spacetime with a Lagrangian with standard dynamics. Static solutions can be found for = 0, given by the usual φ4 kink φK(x) = tanh(x) and antikink φK (x) = − tanh(x) These solutions, of minimal energy, can be obtained by first-order BPS equations [80, 81]. The existence of vibrational modes is important for the comprehension of the complex behavior of kink-antikink scattering One such effect is known as two-bounces, and it is characterized by a collision process where the initial translational energy is stored in the vibrational mode of the kink-antikink pair during an amount of time. The pair, after being scattered, oscillates around the contact point and retrocedes for a second collision This mechanism was described in the ref. Corrections φn to the kink field in nth order in were presented in ref. [79], and are described in terms of the basis of eigenfunctions {ηn}
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