Curved, extended classical solutions I. The undulating kink

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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7 pages, LaTeX

Scientific paper

10.1103/PhysRevD.63.027702

The energy of extended classical objects, such as vortices, depends on their
shape. In particular, we show that the curvature energy of a kink in two
spatial dimensions, as a prototype of extended classical solutions, is always
negative. We obtain a closed form for the curvature energy, assuming small
deviations from the straight line.

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