Lattice study of the two-dimensional Wess-Zumino model

Simon M Catterall, Sergey Karamov

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52 Scopus citations


We present results from a numerical simulation of the two-dimensional Euclidean Wess-Zumino model. In the continuum the theory possesses N = 1 supersymmetry. The lattice model we employ was analyzed by Golterman and Petcher, who gave a perturbative proof that the continuum supersymmetric Ward identities are recovered without fine-tuning in the limit of vanishing lattice spacing. Our simulations demonstrate the existence of important non-perturbative effects in finite volumes which modify these conclusions. It appears that in certain regions of parameter space the vacuum state can contain solitons corresponding to field configurations which interpolate between different classical vacua. In the background of these solitons supersymmetry is partially broken and a light fermion mode is observed. At fixed coupling the critical mass separating phases of broken and unbroken supersymmetry appears to be volume dependent. We discuss the implications of our results for continuum supersymmetry breaking.

Original languageEnglish (US)
Article number014503
JournalPhysical Review D
Issue number1
StatePublished - Jul 2003


ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Physics and Astronomy (miscellaneous)
  • Nuclear and High Energy Physics

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