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

2002/03/26 by A. Rebhan, A Rebhan, P. van Nieuwenhuizen +3 · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Mechanics and Non-Hermitian Physics #Topological Materials and Phenomena #cond-mat.stat-mech #hep-th

paper · pdf · doi:10.1088/1367-2630/4/1/331

published as NewJ.Phys.4:31,2002 · 23 pages, LATeX; v2: 25 pages, 2 references added, extended discussion of renormalization schemes which dispels apparent contradiction with previous results

arxiv created 2002/03/26 · openalex publication_date 2002/05/30 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

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 non-vanishing 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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