Supersymmetric gradient flow in the Wess-Zumino model

Abstract

We propose a supersymmetric gradient flow equation in the four-dimensional Wess-Zumino model. The flow is constructed in two ways. One is based on the off-shell component fields and the other is based on the superfield formalism, in which the same result is provided. The obtained flow is supersymmetric because the flow time derivative and the supersymmetry transformation commute with each other. Solving the equation, we find that it has a damping oscillation with the flow time for nonzero mass, which is different from the Yang-Mills flow. The on-shell flow equation is also discussed.

19 pages; v2: published version

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Cited by in corpus (7)

• Lattice studies of supersymmetric gauge theories
• Fixed Point Structure of Gradient Flow Exact Renormalization Group for Scalar Field Theories
• Supersymmetric gradient flow in 4d N=1 SQCD
• Two-loop gradient-flow renormalization of scalar QCD
• A basis of the gradient flow exact renormalization group for gauge theory
• Perturbative analysis of the Wess-Zumino flow
• Gradient-flowed order parameter for spontaneous gauge symmetry breaking