Kink mass quantum shifts from SUSY quantum mechanics

Alberto Alonso-Izquierdo; Juan Mateos Guilarte; Mikhail S. Plyushchay

Kink mass quantum shifts from SUSY quantum mechanics

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arxiv 1212.0818 v1 pith:BJ6JHFOC submitted 2012-12-04 hep-th

Alberto Alonso-Izquierdo , Juan Mateos Guilarte , Mikhail S. Plyushchay This is my paper · ORCID

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In this paper a new version of the DHN (Dashen-Hasslacher-Neveu) formula, which is used to compute the one-loop order kink mass correction in (1+1)-dimensional scalar field theory models, is constructed. The new expression is written in terms of the spectral data coming from the supersymmetric partner operator of the second-order small kink fluctuation operator and allows us to compute the kink mass quantum shift in new models for which this calculation was out of reach by means of the old formula.

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Confining kinks. $\zeta$-regularized one-loop kink mass shifts in exotic field theories
hep-th 2025-06 conditional novelty 6.0 of 10

New soliton models ('confining kinks') have purely discrete perturbation spectra; their one-loop mass shifts, computed via zeta-function regularization, are finite and negative without vacuum subtractions.

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