# Supersymmetric quantum mechanics on the lattice: I. Loop formulation

@article{Baumgartner2015SupersymmetricQM, title={Supersymmetric quantum mechanics on the lattice: I. Loop formulation}, author={David Baumgartner and Urs Wenger}, journal={Nuclear Physics}, year={2015}, volume={894}, pages={223-253} }

Abstract Simulations of supersymmetric field theories on the lattice with (spontaneously) broken supersymmetry suffer from a fermion sign problem related to the vanishing of the Witten index. We propose a novel approach which solves this problem in low dimensions by formulating the path integral on the lattice in terms of fermion loops. For N = 2 supersymmetric quantum mechanics the loop formulation becomes particularly simple and in this paper – the first in a series of three – we discuss in…

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