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arXiv · 2111.06790

Relativistic Moduli Space for Kink Collisions

C. Adam·N. S. Manton·K. Oles·T. Romanczukiewicz·A. Wereszczynski
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Abstract

The moduli space approximation to kink dynamics permits a relativistic generalization if the Derrick scaling parameter is used as a collective coordinate. We develop a perturbative approach to the resulting relativistic moduli space by expanding the Derrick scaling parameter about unity and treating the higher-order Derrick modes as new degrees of freedom. This approach allows us to resolve (coordinate) singularities order-by-order, and systematically incorporates relativistic corrections {\it perturbatively} in kink scattering. It gives an excellent description of kink-antikink collisions in $\phi^4$ field theory already at first order, and at higher order, reproduces the fractal structure in the formation of the final state with an error of only $4\%$.

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C. Adam, N. S. Manton, K. Oles, T. Romanczukiewicz, A. Wereszczynski. 2021-11-12. Relativistic Moduli Space for Kink Collisions. https://doi.org/10.1103/physrevd.105.065012

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