Convergence of Derivative Expansion in Supersymmetric Functional RG Flows

TL;DR

This paper confirms the convergence of the derivative expansion in supersymmetric models using the functional renormalization group, providing high-accuracy results and validating the superscaling relation across various models and dimensions.

Contribution

It demonstrates the convergence of the derivative expansion in supersymmetric models and validates the superscaling relation to all orders and dimensions.

Findings

Confirmed convergence of derivative expansion in supersymmetric models

Obtained high-accuracy results for supersymmetric quantum mechanics

Validated the superscaling relation for all orders and dimensions

Abstract

We confirm the convergence of the derivative expansion in two supersymmetric models via the functional renormalization group method. Using pseudo-spectral methods, high-accuracy results for the lowest energies in supersymmetric quantum mechanics and a detailed description of the supersymmetric analogue of the Wilson-Fisher fixed point of the three-dimensional Wess-Zumino model are obtained. The superscaling relation proposed earlier, relating the relevant critical exponent to the anomalous dimension, is shown to be valid to all orders in the supercovariant derivative expansion and for all $d \ge 2$.