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

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arxiv hep-th/0203137 v2 pith:OENZLLPA submitted 2002-03-14 hep-th cond-mat.stat-mech

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

A. Rebhan , P. van Nieuwenhuizen , R. Wimmer This is my paper
classification hep-th cond-mat.stat-mech
keywords dimensionaldomainkinkone-loopregularizationsupersymmetricsurfacewalls
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We consider domain walls obtained by embedding the 1+1-dimensional $\phi^4$-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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Krakow Lectures on Scalar Quantum Solitons

    hep-th 2026-05 unverdicted novelty 7.0

    The paper presents Linearized Soliton Perturbation Theory (LSPT) as a new Hamiltonian tool for constructing quantum soliton states and computing their perturbative corrections and scattering.

  2. Krakow Lectures on Scalar Quantum Solitons

    hep-th 2026-05 unverdicted novelty 7.0

    Introduces Linearized Soliton Perturbation Theory (LSPT) as a Hamiltonian tool for explicit construction of quantum soliton states and their perturbative corrections, including scattering applications.

  3. Scheme Dependence of the One-Loop Domain Wall Tension

    hep-th 2025-05 unverdicted novelty 5.0

    New spectral and perturbation methods for one-loop domain wall tension agree with dimensional regularization when the renormalization scheme is the same.