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 $d\ge 2$.

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• Critical behavior of Dirac fermions from perturbative renormalization
• Global solutions of functional fixed point equations via pseudo-spectral methods
• Ising and Gross-Neveu model in next-to-leading order
• Solving functional flow equations with pseudo-spectral methods
• Multi-meson Yukawa interactions at criticality
• Critical (Chiral) Heisenberg Model with the Functional Renormalisation Group
• Critical behavior of the QED${}_3$-Gross-Neveu model: Duality and deconfined criticality
• Infinite order quantum-gravitational correlations
• Impact of generalized Yukawa interactions on the lower Higgs mass bound
• Scaling and superscaling solutions from the functional renormalization group
• A functional perspective on emergent supersymmetry
• Momentum dependence of quantum critical Dirac systems
• Universal behavior of coupled order parameters below three dimensions
• Asymptotic freedom in $Z_2$-Yukawa-QCD models
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• 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