The one-loop domain wall tension in φ^4_4 is finite because the positive divergence from the displacement operator is exactly cancelled by the negative divergence from the squeeze (Bogoliubov) contribution.
Kinks in higher derivative scalar field theory
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abstract
We study static kink configurations in a type of two-dimensional higher derivative scalar field theory whose Lagrangian contains second-order derivative terms of the field. The linear fluctuation around arbitrary static kink solutions is analyzed. We find that, the linear spectrum can be described by a supersymmetric quantum mechanics problem, and the criteria for stable static solutions can be given analytically. We also construct a superpotential formalism for finding analytical static kink solutions. Using this formalism we first reproduce some existed solutions and then offer a new solution. The properties of our solution is studied and compared without those preexisted. We also show the possibility in constructing twinlike model in the higher derivative theory, and give the consistency conditions for twinlike models corresponding to the canonical scalar field theory.
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Constructing A Finite Tension Domain Wall in $\phi^4_4$
The one-loop domain wall tension in φ^4_4 is finite because the positive divergence from the displacement operator is exactly cancelled by the negative divergence from the squeeze (Bogoliubov) contribution.