2008/06/04 by Sergio Arianos, S. Arianos, A. D’Adda +5
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems #hep-lat #hep-th
paper · pdf · doi:10.1142/s0217751x09046072
published as Int.J.Mod.Phys.A24:4737-4768,2009 · 25 pages
arxiv created 2008/06/04 · openalex publication_date 2009/10/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Following the approach developed by some of the authors in recent papers and using a matrix representation for the superfields, we formulate an exact supersymmetric theory with two supercharges on a one-dimensional lattice. In the superfield formalism supersymmetry transformations are uniquely defined and do not suffer of the ambiguities recently pointed out by some authors. The action can be written in a unique way and it is invariant under all supercharges. A modified Leibniz rule applies when supercharges act on a superfield product and the corresponding Ward identities take a modified form but hold exactly at least at the tree level, while their validity in presence of radiative corrections is still an open problem and is not considered here.