Iterated ϕ 4 kinks
Publication Date
2019-10-08Journal Title
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Volume
2019
Issue
10
Language
en
Type
Article
This Version
VoR
Metadata
Show full item recordCitation
Manton, N. S., Oleś, K., & Wereszczyński, A. (2019). Iterated ϕ 4 kinks. Journal of High Energy Physics, 2019 (10)https://doi.org/10.1007/jhep10(2019)086
Abstract
Abstract: A first order equation for a static ϕ4 kink in the presence of an impurity is extended into an iterative scheme. At the first iteration, the solution is the standard kink, but at the second iteration the kink impurity generates a kink-antikink solution or a bump solution, depending on a constant of integration. The third iterate can be a kink-antikink-kink solution or a single kink modified by a variant of the kink’s shape mode. All equations are first order ODEs, so the nth iterate has n moduli, and it is proposed that the moduli space could be used to model the dynamics of n kinks and antikinks. Curiously, fixed points of the iteration are ϕ6 kinks.
Keywords
Regular Article - Theoretical Physics, Nonperturbative Effects, Solitons Monopoles and Instantons, Effective Field Theories
Identifiers
jhep10(2019)086, 11399
External DOI: https://doi.org/10.1007/jhep10(2019)086
This record's URL: https://www.repository.cam.ac.uk/handle/1810/311190