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arXiv · 1412.5393

Supersymmetric quantum mechanics on the lattice: I. Loop formulation

David Baumgartner·Urs Wenger
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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 detail the reformulation of this model in terms of fermionic and bosonic bonds for various lattice discretisations including one which is Q-exact.

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David Baumgartner, Urs Wenger. 2015-09-03. Supersymmetric quantum mechanics on the lattice: I. Loop formulation. https://doi.org/10.1016/j.nuclphysb.2015.03.001

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