Abstract
Starting from a simple discrete model which exhibits a supersymmetric invariance we construct a local, interacting, two-dimensional Euclidean lattice theory which also admits an exact supersymmetry. This model is shown to correspond to the Wess-Zumino model with extended N = 2 supersymmetry in the continuum. We have performed dynamical fermion simulations to check the spectrum and supersymmetric Ward identities and find good agreement with theory.
Highlights
A Two-Dimensional Lattice Model with Exact SupersymmetryFollow this and additional works at: https://surface.syr.edu/phy Part of the Physics Commons
Supersymmetry is thought to be a crucial ingredient in any theory which attempts to unify the separate interactions contained in the standard model of particle physics
For P ′ = mx + gxQ we can show using a simple scaling argument and a supersymmetric Ward identity that the mean action < S >= K, the number of degrees of freedom, which we recognize as a Euclidean analog of the vanishing of the vacuum energy Evac = 0 in a supersymmetric theory
Summary
Follow this and additional works at: https://surface.syr.edu/phy Part of the Physics Commons. Recommended Citation Catterall, Simon and Karamov, S., "A Two-Dimensional Lattice Model with Exact Supersymmetry" (2001). Karamova aDepartment of Physics, Syracuse University, Syracuse, NY 13244. Starting from a simple discrete model which exhibits a supersymmetric invariance we construct a local, interacting, two-dimensional Euclidean lattice theory which admits an exact supersymmetry. This model is shown to correspond to the Wess-Zumino model with extended N = 2 supersymmetry in the continuum. We have performed dynamical fermion simulations to check the spectrum and supersymmetric Ward identities and find good agreement with theory
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