Supersymmetric nonperturbative formulation of the WZ model in lower dimensions

Abstract

A nonperturbative formulation of the Wess-Zumino (WZ) model in two and three dimensions is proposed on the basis of momentum-modes truncation. The formulation manifestly preserves full supersymmetry as well as the translational invariance and all global symmetries, while it is shown to be consistent with the expected locality to all orders of perturbation theory. For the two-dimensional WZ model, a well-defined Nicolai map in the formulation provides an interesting algorithm for Monte Carlo simulations.

17 pages, uses elsart.cls, the final version to appear in Phys. Lett. B

References in corpus (9)

• Trivializing maps, the Wilson flow and the HMC algorithm
• Non-lattice simulation for supersymmetric gauge theories in one dimension
• Low-dimensional Supersymmetric Lattice Models
• Complete supersymmetry on the lattice and a No-Go theorem: A simulation with intact supersymmetries on the lattice
• Two-Dimensional Wess-Zumino Models at Intermediate Couplings
• Taming the Leibniz Rule on the Lattice
• Phase Diagram and Fixed-Point Structure of two dimensional N=1 Wess-Zumino Models
• Formulation of Supersymmetry on a Lattice as a Representation of a Deformed Superalgebra
• An elementary proof of the non-renormalization theorem for the Wess-Zumino model

Cited by in corpus (22)

• Complete supersymmetry on the lattice and a No-Go theorem: A simulation with intact supersymmetries on the lattice
• Tensor network formulation for two-dimensional lattice $\mathcal{N}=1$ Wess-Zumino model
• Supersymmetry Breaking in Low Dimensional Models
• Supersymmetry on the lattice
• A lattice study of N=2 Landau-Ginzburg model using a Nicolai map
• Species Doublers as Super Multiplets in Lattice Supersymmetry: Exact Supersymmetry with Interactions for D=1 N=2
• A Method for Measuring the Witten Index Using Lattice Simulation
• Exact Lattice Supersymmetry at the Quantum Level for $N=2$ Wess-Zumino Models in 1- and 2-Dimensions
• Lattice formulation of two-dimensional N=(2,2) super Yang-Mills with SU(N) gauge group
• Direct computational approach to lattice supersymmetric quantum mechanics
• Supersymmetry restoration in lattice formulations of 2D $\mathcal{N}=(2,2)$ WZ model based on the Nicolai map
• Numerical simulation of the $\mathcal{N}=(2,2)$ Landau-Ginzburg model
• Improved lattice actions for supersymmetric quantum mechanics
• An Alternative Lattice Field Theory Formulation Inspired by Lattice Supersymmetry
• Lattice study of supersymmetry breaking in N=2 supersymmetric quantum mechanics
• Numerical study of the $\mathcal{N}=2$ Landau--Ginzburg model
• Numerical analyses of N=2 supersymmetric quantum mechanics with cyclic Leibniz rule on lattice
• Continuum limit in numerical simulations of the $\mathcal{N}=2$ Landau--Ginzburg model
• An Alternative Lattice Field Theory Formulation Inspired by Lattice Supersymmetry -Summary of the Formulation-
• Numerical study of the $\mathcal{N}=2$ Landau--Ginzburg model with two superfields
• Numerical study of ADE-type $\mathcal{N}=2$ Landau--Ginzburg models
• Supersymmetry on the lattice and the status of the Super-Yang-Mills simulations