Thick domain walls in a polynomial approximation

Abstract

Relativistic domain walls are studied in the framework of a polynomial approximation to the field interpolating between different vacua and forming the domain wall. In this approach we can calculate evolution of a core and of a width of the domain wall. In the single, cubic polynomial approximation used in this paper, the core obeys Nambu-Goto equation for a relativistic membrane. The width of the domain wall obeys a nonlinear equation which is solved perturbatively. There are two types of corrections to the constant zeroth order width: the ones oscillating in time, and the corrections directly related to curvature of the core. We find that curving a static domain wall is associated with an increase of its width. As an example, evolution of a toroidal domain wall is investigated.

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References in corpus (4)

• Curvature Corrections to Dynamics of Domain Walls
• On dynamics of cylindrical and spherical relativistic domain walls of finite thickness
• Topologica Defects and Corrections to the Nambu Action
• Comment on thickness-corrections to Nambu-wall

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