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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Supersymmetric quantum mechanics on the lattice: II. Exact results
Simulations of supersymmetric field theories with spontaneously broken supersymmetry require in addition to the ultraviolet regularisation also an infrared one, due to the emergence of the massless…
Simulation of supersymmetric models on the lattice without a sign problem
Simulations of supersymmetric models 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…
Supersymmetric quantum mechanics on the lattice: III. Simulations and algorithms
In the fermion loop formulation the contributions to the partition function naturally separate into topological equivalence classes with a definite sign. This separation forms the basis for an…
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