Expansion in the Width and Collective Dynamics of a Domain Wall

Details Expansion in the Width and Collective Dynamics of a Domain Wall Expansion in the Width and Collective Dynamics of a Domain Wall

1997-03-25

arxiv.org/abs/hep-th/9703168v1

Nucl.Phys. B509 (1998) 273-293

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, LaTeX, no figures

Scientific paper

10.1016/S0550-3213(97)00497-5

We show that collective dynamics of a curved domain wall in a (3+1)-dimensional relativistic scalar field model is represented by Nambu-Goto membrane and (2+1)-dimensional scalar fields defined on the worldsheet of the membrane. Our argument is based on a recently proposed by us version of the expansion in the width. Derivation of the expansion is significantly reformulated for the present purpose. Third and fourth order corrections to the domain wall solution are considered. We also derive an equation of motion for the core of the domain wall. Without the (2+1)-dimensional scalar fields this equation would be nonlocal.

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