Convergence of Derivative Expansion in Supersymmetric Functional RG Flows

Understand

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 $d \ge 2$.