Constrained instantons and kink-antikink collisions

TL;DR

This paper demonstrates that constrained $CP^1$ instantons, when used with the Relativistic Moduli Space approach, effectively model kink-antikink collisions in the $^4$ field theory.

Contribution

It introduces a novel application of constrained $CP^1$ instantons combined with the Relativistic Moduli Space approach for modeling kink-antikink interactions.

Findings

Accurate description of kink-antikink collisions achieved.

Validation of the combined instanton and moduli space method.

Potential for improved modeling in nonlinear field theories.

Abstract

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