Flow Equation for Supersymmetric Quantum Mechanics

Abstract

We study supersymmetric quantum mechanics with the functional RG formulated in terms of an exact and manifestly off-shell supersymmetric flow equation for the effective action. We solve the flow equation nonperturbatively in a systematic super-covariant derivative expansion and concentrate on systems with unbroken supersymmetry. Already at next-to-leading order, the energy of the first excited state for convex potentials is accurately determined within a 1% error for a wide range of couplings including deeply nonperturbative regimes.

24 pages, 8 figures, references added, typos corrected

References in corpus (23)

• Exact evolution equation for the effective potential
• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• Aspects of the Functional Renormalisation Group
• Optimised Renormalisation Group Flows
• Optimisation of the exact renormalisation group
• Flow Equations and BRS Invariance for Yang-Mills Theories
• Running coupling in Yang-Mills theory - a flow equation study -
• Completeness and consistency of renormalisation group flows
• Gluon Condensation in Nonperturbative Flow Equations
• Towards an accurate determination of the critical exponents with the Renormalization Group flow equations
• Renormalization group flow for SU(2) Yang-Mills theory and gauge invariance
• Deconstruction and other approaches to supersymmetric lattice field theories
• Low-dimensional Supersymmetric Lattice Models
• Improving the Renormalization Group approach to the quantum-mechanical double well potential
• Equivalence of Local Potential Approximations
• Predictions and recent results in susy on the lattice
• Two-Dimensional Wess-Zumino Models at Intermediate Couplings
• Quantum-mechanical tunnelling and the renormalization group
• Wilson Renormalization Group for Supersymmetric Gauge Theories and Gauge Anomalies
• Effective Average Action in N=1 Super-Yang-Mills Theory
• Construction of a Wilson action for the Wess-Zumino model
• Ginsparg-Wilson Relation and Lattice Chiral Symmetry in Fermionic Interacting Theories
• N=1* model and glueball superpotential from Renormalization-Group-improved perturbation theory

Cited by in corpus (34)

• The nonperturbative functional renormalization group and its applications
• Fundamentals of the Exact Renormalization Group
• The Renormalization Group flow of unimodular f(R) gravity
• Algorithmic derivation of functional renormalization group equations and Dyson-Schwinger equations
• Consistency of matter models with asymptotically safe quantum gravity
• Impact of generalized Yukawa interactions on the lower Higgs mass bound
• Phase Diagram and Fixed-Point Structure of two dimensional N=1 Wess-Zumino Models
• Functional renormalization group in stochastic inflation
• The No-Pole Condition in Landau gauge: Properties of the Gribov Ghost Form-Factor and a Constraint on the 2d Gluon Propagator
• A functional perspective on emergent supersymmetry
• Critical behavior of supersymmetric O(N) models in the large-N limit
• N=1 Wess Zumino Model in d=3 at zero and finite temperature
• Supersymmetry breaking as a quantum phase transition
• Convergence of Derivative Expansion in Supersymmetric Functional RG Flows
• Phases of supersymmetric O(N) theories
• On the Renormalization of Theories of a Scalar Chiral Superfield
• Unequal time correlators of stochastic scalar fields in de Sitter space
• Functional renormalization group for multilinear disordered Langevin dynamics I: Formalism and first numerical investigations at equilibrium
• Formulation of Supersymmetry on a Lattice as a Representation of a Deformed Superalgebra
• Functional renormalization group for multilinear disordered Langevin dynamics II: Revisiting the $p=2$ spin dynamics for Wigner and Wishart ensembles
• The two dimensional N=(2,2) Wess-Zumino Model in the Functional Renormalization Group Approach
• Critical Wess-Zumino models with four supercharges from the functional renormalization group
• Computing First-Passage Times with the Functional Renormalisation Group
• Structural aspects of FRG in quantum tunnelling computations
• FlowPy - a numerical solver for functional renormalization group equations
• Stochastic dynamics for Group Field Theories
• Asymptotically Safe Hilbert-Palatini Gravity in an On-Shell Reduction Scheme
• Coarse-graining in time with the Functional Renormalisation Group: Relaxation in Brownian Motion
• Renormalization Flow of Nonlinear Electrodynamics
• Functional renormalization group flows of $\mathcal{N}=1$ supersymmetric abelian gauge model with one chiral and one vector superfield
• Functional Renormalization Group Approach for Signal Detection
• Non-perturbative SQED beta function using functional renormalization group approach and the NSVZ exact beta function
• The quantum $p$-spin renormalization group in the large $N$ limit as a benchmark for functional renormalization group
• The $\theta$-vacuum from functional renormalisation