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.

arXiv comment19 pages; v2: published version

References in corpus (41)

• Properties and uses of the Wilson flow in lattice QCD
• Perturbative analysis of the gradient flow in non-abelian gauge theories
• Infinite N phase transitions in continuum Wilson loop operators
• Chiral symmetry and the Yang--Mills gradient flow
• Lattice energy-momentum tensor from the Yang-Mills gradient flow -- inclusion of fermion fields
• Thermodynamics of SU(3) Gauge Theory from Gradient Flow
• Energy-momentum tensor from the Yang-Mills gradient flow
• Space-time symmetries and the Yang-Mills gradient flow
• The two-loop energy-momentum tensor within the gradient-flow formalism
• Topological susceptibility in finite temperature (2+1)-flavor QCD using gradient flow
• Exploring Nf=2+1 QCD thermodynamics from the gradient flow
• Nonperturbative Renormalization of Operators in Near-Conformal Systems Using Gradient Flows
• Distribution of Stress Tensor around Static Quark--Anti-Quark from Yang-Mills Gradient Flow
• Gradient flow and the renormalization group
• Correlations of Energy-Momentum Tensor via Gradient Flow in SU(3) Yang-Mills Theory at Finite Temperature
• Thermodynamics in quenched QCD: energy--momentum tensor with two-loop order coefficients in the gradient flow formalism
• Renormalizability of the gradient flow in the 2D $O(N)$ non-linear sigma model
• Small flow-time representation of fermion bilinear operators
• Gradient Flow of O(N) nonlinear sigma model at large N
• Proof of the renormalizability of the gradient flow
• Generalized Gradient Flow Equation and Its Application to Super Yang-Mills Theory
• A study of center and chiral symmetry realization in thermal $\mathcal{N}=1$ super Yang-Mills theory using the gradient flow
• Derivation of a Gradient Flow from ERG
• AdS geometry from CFT on a general conformally flat manifold
• Universal formula for the flavor non-singlet axial-vector current from the gradient flow
• Flow equation, conformal symmetry and AdS geometry
• Gradient flow and the Wilsonian renormalization group flow
• Geometries from field theories
• 4D $\mathcal{N}=1$ SYM supercurrent in terms of the gradient flow
• The gradient flow in $\lambda {\varphi }^4$ theory
• Large-$N$ limit of the gradient flow in the 2D $O(N)$ nonlinear sigma model
• The Yang-Mills gradient flow and lattice effective action
• Flow equation for the scalar model in the large $N$ expansion and its applications
• Stochastic gauge fixing for N = 1 supersymmetric Yang-Mills theory
• N=1 Super Yang-Mills Theory in Ito Calculus
• Flow Equation of N=1 Supersymmetric O(N) Nonlinear Sigma Model in Two Dimensions
• Gradient flow representation of the four-dimensional $\mathcal{N}=2$ super Yang--Mills supercurrent
• Topological Susceptibility of the 2d O(3) Model under Gradient Flow
• Supersymmetric gradient flow in N=1 SYM
• Encoding field theories into gravities
• Axial $U(1)$ anomaly in a gravitational field via the gradient flow

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