Flow Equation for Supersymmetric Quantum Mechanics
High Energy Physics - Theory
2009-03-27 v2 High Energy Physics - Phenomenology
Quantum Physics
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.
Cite
@article{arxiv.0809.4396,
title = {Flow Equation for Supersymmetric Quantum Mechanics},
author = {Franziska Synatschke and Georg Bergner and Holger Gies and Andreas Wipf},
journal= {arXiv preprint arXiv:0809.4396},
year = {2009}
}
Comments
24 pages, 8 figures, references added, typos corrected