Flow Equation for Supersymmetric Quantum Mechanics

Details Flow Equation for Supersymmetric Quantum Mechanics Flow Equation for Supersymmetric Quantum Mechanics

2008-09-25

arxiv.org/abs/0809.4396v2

JHEP 0903:028,2009

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 8 figures, references added, typos corrected

Scientific paper

10.1088/1126-6708/2009/03/028

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.

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