On expansion in the width for domain walls

Details On expansion in the width for domain walls On expansion in the width for domain walls

1995-02-03

arxiv.org/abs/hep-th/9502018v1

Nucl.Phys. B450 (1995) 174-188

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, LaTeX

Scientific paper

10.1016/0550-3213(95)00385-6

The well-known idea to construct domain wall type solutions of field equations by means of an expansion in the width of the domain wall is reexamined. We observe that the problem involves singular perturbations. Hilbert-Chapman-Enskog method is used to construct a consistent perturbative expansion. We obtain the solutions to the second order in the width without introducing an effective action for the domain wall. We find that zeros of the scalar field in general do not lie on a Nambu-Goto trajectory. As examples we consider cylindrical and spherical domain walls. We find that the spherical domain wall, in contradistinction to the cylindrical one, shows an effective rigidity.

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