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arxiv: 0809.4396 · v2 · submitted 2008-09-25 · ✦ hep-th · hep-ph· quant-ph

Flow Equation for Supersymmetric Quantum Mechanics

classification ✦ hep-th hep-phquant-ph
keywords equationflowsupersymmetricmechanicsquantumaccuratelyactionalready
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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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