Journal of High Energy Physics

, 2018:82 | Cite as

A supersymmetric exotic field theory in (1+1) dimensions: one loop soliton quantum mass corrections

  • A. R. Aguirre
  • G. Flores-Hidalgo
Open Access
Regular Article - Theoretical Physics


We consider one loop quantum corrections to soliton mass for the \( \mathcal{N}=1 \) supersymmetric extension of the (1+1)-dimensional scalar field theory with the potential U (ϕ) = ϕ2 cos2 (ln ϕ2). First, we compute the one loop quantum soliton mass correction of the bosonic sector. To do that, we regularize implicitly such quantity by subtracting and adding its corresponding tadpole graph contribution, and use the renormalization prescription that the added term vanishes with the corresponding counterterms. As a result we get a finite unambiguous formula for the soliton quantum mass corrections up to one loop order. Afterwards, the computation for the supersymmetric case is extended straightforwardly and we obtain for the one loop quantum correction of the SUSY kink mass the expected value previously derived for the SUSY sine-Gordon and ϕ4 models. However, we also have found that for a particular value of the parameters, contrary to what was expected, the introduction of supersymmetry in this model worsens ultraviolet divergences rather than improving them.


Solitons Monopoles and Instantons Supersymmetry and Duality 


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© The Author(s) 2018

Authors and Affiliations

  1. 1.Institute of Physics and ChemistryFederal University of ItajubáItajubáBrazil

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