Introduces Linearized Soliton Perturbation Theory (LSPT) as a Hamiltonian tool for explicit construction of quantum soliton states and their perturbative corrections, including scattering applications.
One-loop surface tensions of (supersymmetric) kink domain walls from dimensional regularization
2 Pith papers cite this work, alongside 44 external citations. Polarity classification is still indexing.
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abstract
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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UNVERDICTED 2representative citing papers
New spectral and perturbation methods for one-loop domain wall tension agree with dimensional regularization when the renormalization scheme is the same.
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Krakow Lectures on Scalar Quantum Solitons
Introduces Linearized Soliton Perturbation Theory (LSPT) as a Hamiltonian tool for explicit construction of quantum soliton states and their perturbative corrections, including scattering applications.
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Scheme Dependence of the One-Loop Domain Wall Tension
New spectral and perturbation methods for one-loop domain wall tension agree with dimensional regularization when the renormalization scheme is the same.