Journal of High Energy Physics

, 2017:71 | Cite as

Kink dynamics in a parametric ϕ6 system: a model with controllably many internal modes

  • A. DemirkayaEmail author
  • R. Decker
  • P. G. Kevrekidis
  • I. C. Christov
  • A. Saxena
Open Access
Regular Article - Theoretical Physics


We explore a variant of the ϕ6 model originally proposed in Phys. Rev. D 12 (1975) 1606 as a prototypical, so-called, “bag” model in which domain walls play the role of quarks within hadrons. We examine the steady state of the model, namely an apparent bound state of two kink structures. We explore its linearization, and we find that, as a function of a parameter controlling the curvature of the potential, an effectively arbitrary number of internal modes may arise in the point spectrum of the linearization about the domain wall profile. We explore some of the key characteristics of kink-antikink collisions, such as the critical velocity and the multi-bounce windows, and how they depend on the principal parameter of the model. We find that the critical velocity exhibits a non-monotonic dependence on the parameter controlling the curvature of the potential. For the multi-bounce windows, we find that their range and complexity decrease as the relevant parameter decreases (and as the number of internal modes in the model increases). We use a modified collective coordinates method [in the spirit of recent works such as Phys. Rev. D 94 (2016) 085008] in order to capture the relevant phenomenology in a semi-analytical manner.


Nonperturbative Effects Solitons Monopoles and Instantons 


Open Access

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Copyright information

© The Author(s) 2017

Authors and Affiliations

  • A. Demirkaya
    • 1
    Email author
  • R. Decker
    • 1
  • P. G. Kevrekidis
    • 2
  • I. C. Christov
    • 3
    • 4
  • A. Saxena
    • 3
  1. 1.Mathematics DepartmentUniversity of HartfordWest HartfordU.S.A.
  2. 2.Department of Mathematics and StatisticsUniversity of MassachusettsAmherstU.S.A.
  3. 3.Center for Nonlinear Studies and Theoretical DivisionLos Alamos National LaboratoryLos AlamosU.S.A.
  4. 4.School of Mechanical EngineeringPurdue UniversityWest LafayetteU.S.A.

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