Convergence of Derivative Expansion in Supersymmetric Functional RG Flows

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 $d\ge 2$.

References in corpus (5)

• Exact evolution equation for the effective potential
• Deconstruction and other approaches to supersymmetric lattice field theories
• Low-dimensional Supersymmetric Lattice Models
• Relationship between various supersymmetric lattice models
• Flow Equation for Supersymmetric Quantum Mechanics

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• Impact of generalized Yukawa interactions on the lower Higgs mass bound
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• Universal behavior of coupled order parameters below three dimensions
• Structural aspects of FRG in quantum tunnelling computations
• Five loop renormalization of the Wess-Zumino model
• Non-perturbative SQED beta function using functional renormalization group approach and the NSVZ exact beta function