Helical buckling of Skyrme-Faddeev solitons

Abstract

Solitons in the Skyrme-Faddeev model on R^2xS^1 are shown to undergo buckling transitions as the circumference of the S^1 is varied. These results support a recent conjecture that solitons in this field theory are well-described by a much simpler model of elastic rods.

arXiv comment24 pages, 9 figures

References in corpus (7)

• Partially Dual variables in SU(2) Yang-Mills Theory
• Hopf Solitons on S^3 and R^3
• Relaxation of twisted vortices in the Faddeev-Skyrme model
• Unwinding in Hopfion vortex bunches
• Hopf solitons and elastic rods
• Vortices in the extended Skyrme-Faddeev model
• Aspects of Duality and Confining Strings

Cited by in corpus (5)

• Fractional instantons and bions in the O(N) model with twisted boundary conditions
• Isospinning hopfions
• Non-uniform localised distortions in generalised elasticity for liquid crystals
• Steady Euler flows and the Faddeev-Skyrme model with mass term
• Electric-current-assisted nucleation of zero-field hopfion rings