Constrained instantons and kink-antikink collisions

Abstract

We show that constrained $C{P}^1$ instantons, combined with the Relativistic Moduli Space approach, can accurately describe kink-antikink collisions in the ${\varphi }^4$ model.

8 pages, 5 figures

References in corpus (8)

• Skyrmions, instantons and holography
• Collective coordinate model of kink-antikink collisions in ${\varphi }^4$ theory
• Josephson vortices and the Atiyah-Manton construction
• Relativistic Moduli Space for Kink Collisions
• Vacuum Polarization Energy for General Backgrounds in One Space Dimension
• The Inhomogeneous Phase of Dense Skyrmion Matter
• Nucleon-nucleon potential from instanton holonomies
• Constrained instanton approximation of Skyrmions with massive pions

Cited by in corpus (3)

• Periodic traveling waves in the ϕ^4 model: Instability, stability and localized structures
• Kink-antikink collisions in hyper-massive models
• Moduli Space for Kink Collisions with Moving Center of Mass