Thick domain walls in a polynomial approximation
摘要
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.
引用
@article{arxiv.hep-th/9501073,
title = {Thick domain walls in a polynomial approximation},
author = {H. Arodz},
journal= {arXiv preprint arXiv:hep-th/9501073},
year = {2010}
}
备注
LaTeX. Figures available from the author by the ordinary mail upon request.