The effective action for domain walls, including higher-curvature corrections and a bound-state coupling to worldsheet curvature, is derived from the scalar field theory and matched to lattice simulations.
Comment on thickness-corrections to Nambu-wall
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abstract
We comment on some calculations concerning the finite-thickness corrections to the (generalized) Nambu action for a curved domain wall in Minkowski space. Contrary to a recent claim in the literature, we find no first order corrections in the wall-thickness, and only one second order correction proportional to the Ricci curvature of the wall. These results are obtained by consistently expanding the action and the equations of motion for the scalar field.
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Effective Actions for Domain Wall Dynamics
The effective action for domain walls, including higher-curvature corrections and a bound-state coupling to worldsheet curvature, is derived from the scalar field theory and matched to lattice simulations.