The two dimensional N=(2,2) Wess-Zumino Model in the Functional Renormalization Group Approach

Abstract

We study the supersymmetric N=(2,2) Wess-Zumino model in two dimensions with the functional renormalization group. At leading order in the supercovariant derivative expansion we recover the nonrenormalization theorem which states that the superpotential has no running couplings. Beyond leading order the renormalization of the bare mass is caused by a momentum dependent wave function renormalization. To deal with the partial differential equations we have developed a numerical toolbox called FlowPy. For weak couplings the quantum corrections to the bare mass found in lattice simulations is reproduced with high accuracy. But in the regime with intermediate couplings higher-order-operators that are not constrained by the nonrenormalization theorem yield the dominating contribution to the renormalized mass.

12 pages, 4 figures, version published by PRD

References in corpus (10)

• Deconstruction and other approaches to supersymmetric lattice field theories
• Non-perturbative thermal flows and resummations
• Non perturbative renormalization group and momentum dependence of n-point functions (II)
• Low-dimensional Supersymmetric Lattice Models
• Three-body scattering from nonperturbative flow equations
• Two-Dimensional Wess-Zumino Models at Intermediate Couplings
• Flow Equation for Supersymmetric Quantum Mechanics
• Phase Diagram and Fixed-Point Structure of two dimensional N=1 Wess-Zumino Models
• The Exact Renormalization Group -- renormalization theory revisited --
• Construction of a Wilson action for the Wess-Zumino model