English

phi^4 Kinks - Gradient Flow and Dynamics

High Energy Physics - Theory 2009-10-30 v2 Exactly Solvable and Integrable Systems solv-int

Abstract

The symmetric dynamics of two kinks and one antikink in classical (1+1)-dimensional ϕ4\phi^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.

Cite

@article{arxiv.hep-th/9605038,
  title  = {phi^4 Kinks - Gradient Flow and Dynamics},
  author = {N. S. Manton and H. Merabet},
  journal= {arXiv preprint arXiv:hep-th/9605038},
  year   = {2009}
}

Comments

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