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arXiv · hep-th/0203137

One-loop surface tensions of (supersymmetric) kink domain walls from dimensional regularization

A. Rebhan·P. van Nieuwenhuizen·R. Wimmer
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Abstract

We consider domain walls obtained by embedding the 1+1-dimensional $ϕ^4$-kink in higher dimensions. We show that a suitably adapted dimensional regularization method avoids the intricacies found in other regularization schemes in both supersymmetric and non-supersymmetric theories. This method allows us to calculate the one-loop quantum mass of kinks and surface tensions of kink domain walls in a very simple manner, yielding a compact d-dimensional formula which reproduces many of the previous results in the literature. Among the new results is the nontrivial one-loop correction to the surface tension of a 2+1 dimensional N=1 supersymmetric kink domain wall with chiral domain-wall fermions.

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A. Rebhan, P. van Nieuwenhuizen, R. Wimmer. 2002-03-26. One-loop surface tensions of (supersymmetric) kink domain walls from dimensional regularization. https://doi.org/10.1088/1367-2630%2F4%2F1%2F331

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