Supersymmetric quantum mechanics on the lattice: I. Loop formulation
arXiv:1412.5393 · doi:10.1016/j.nuclphysb.2015.03.001
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.
arXiv comment33 pages, 8 figures, 3 tables; typos in text, eq.(107) and table 3 corrected
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- Canonical simulations of supersymmetric SU(N) Yang-Mills quantum mechanics