2003/05/01 by Simon Catterall, S. Karamov, Sergey Karamov · 62 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cold Atom Physics and Bose-Einstein Condensates #Euclidean geometry #Fermion #Geometry #Lattice (music) #Mathematical physics #Mathematics #Parameter space #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Supersymmetry #Supersymmetry breaking #Theoretical physics #Vacuum state #hep-lat
paper · pdf · doi:10.1103/physrevd.68.014503
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 68(1) (American Physical Society) · 32 pages, 12 figures
arxiv created 2003/05/01 · openalex publication_date 2003/07/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.