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}
}
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We discuss N=2 supersymmetric quantum mechanics on the lattice using the fermion loop formulation. In this approach the system naturally decomposes into a bosonic and fermionic sector. This allows us…
Supersymmetric quantum mechanics on the lattice: II. Exact results
Simulation of supersymmetric models on the lattice without a sign problem
TLDR
A novel approach is proposed which solves this problem in low dimensions by formulating the path integral on the lattice in terms of fermion loops, based on the exact hopping expansion of the fermionic action and allows the explicit decomposition of the partition function into bosonic andfermionic contributions.
Supersymmetric quantum mechanics on the lattice: III. Simulations and algorithms
Loop formulation of supersymmetric Yang-Mills quantum mechanics
A bstractWe derive the fermion loop formulation of N=4$$ \mathcal{N}=4 $$ supersymmetric SU(N) Yang-Mills quantum mechanics on the lattice. The loop formulation naturally separates the contributions…
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