A higher-order Skyrme model

Sven Bjarke Gudnason, Muneto Nitta

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We propose a higher-order Skyrme model with derivative terms of eighth, tenth and twelfth order. Our construction yields simple and easy-to-interpret higher-order Lagrangians. We first show that a Skyrmion with higher-order terms proposed by Marleau has an instability in the form of a baby-Skyrmion string, while the static energies of our construction are positive definite, implying stability against time-independent perturbations. However., we also find that the Hamiltonians of our construction possess two kinds of dynamical instabilities, which may indicate the instability with respect to time-dependent perturbations. Different from the well-known Ostrogradsky instability, the instabilities that we find are intrinsically of nonlinear nature and also due to the fact that even powers of the inverse metric gives a ghost-like higher-order kinetic-like term. The vacuum state is, however, stable. Finally., we show that at sufficiently low energies, our Hamiltonians in the simplest cases, are stable against time-dependent perturbations.

Original languageEnglish
Article number28
JournalJournal of High Energy Physics
Volume2017
Issue number9
DOIs
Publication statusPublished - 2017 Sep 1

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perturbation
ghosts
strings
vacuum
energy
kinetics

Keywords

  • Effective Field Theories
  • Sigma Models
  • Solitons Monopoles and Instantons

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

A higher-order Skyrme model. / Gudnason, Sven Bjarke; Nitta, Muneto.

In: Journal of High Energy Physics, Vol. 2017, No. 9, 28, 01.09.2017.

Research output: Contribution to journalArticle

Gudnason, Sven Bjarke ; Nitta, Muneto. / A higher-order Skyrme model. In: Journal of High Energy Physics. 2017 ; Vol. 2017, No. 9.
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