Supercurrent conservation in the lattice Wess-Zumino model with Ginsparg-Wilson fermions
arXiv:1104.1126 · doi:10.1103/PhysRevD.84.025001
Abstract
We study supercurrent conservation for the four-dimensional Wess-Zumino model formulated on the lattice. The formulation is one that has been discussed several times, and uses Ginsparg-Wilson fermions of the overlap (Neuberger) variety, together with an auxiliary fermion (plus superpartners), such that a lattice version of U(1)_R symmetry is exactly preserved in the limit of vanishing bare mass. We show that the almost naive supercurrent is conserved at one loop. By contrast we find that this is not true for Wilson fermions and a canonical scalar action. We provide nonperturbative evidence for the nonconservation of the supercurrent in Monte Carlo simulations.
19 pages, 5 figures
References in corpus (6)
- Deconstruction and other approaches to supersymmetric lattice field theories
- Lattice super-Yang-Mills using domain wall fermions in the chiral limit
- Progress in four-dimensional lattice supersymmetry
- Dynamical simulation of N=1 supersymmetric Yang-Mills theory with domain wall fermions
- Lattice four-dimensional N=4 SYM is practical
- Lattice Wess-Zumino model with Ginsparg-Wilson fermions: One-loop results and GPU benchmarks