Dynamics of the infinitely-thin kink

Details Dynamics of the infinitely-thin kink Dynamics of the infinitely-thin kink

2009-11-03

arxiv.org/abs/0911.0538v2

Phys. Lett. B704 (2011) 646-651

Physics

High Energy Physics

High Energy Physics - Theory

13 pages; v2: added references, to appear in Phys Lett B

Scientific paper

10.1016/j.physletb.2011.09.084

We consider the dynamics of the domain-wall kink soliton, in particular we study the zero mode of translation. In the infinitely-thin kink limit, we show that the zero mode is almost completely frozen out, the only remnant being a dynamically constrained four-dimensional mode of a single but arbitrary frequency. In relation to this result, we show that the usual mode expansion for dealing with zero modes -- implicit collective coordinates -- is not in fact a completely general expansion, and that one must use instead a traditional generalised Fourier analysis.

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