Supersymmetric quantum mechanics on the lattice: I. Loop formulation
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 Qexact.
 Publication:

Nuclear Physics B
 Pub Date:
 May 2015
 DOI:
 10.1016/j.nuclphysb.2015.03.001
 arXiv:
 arXiv:1412.5393
 Bibcode:
 2015NuPhB.894..223B
 Keywords:

 High Energy Physics  Lattice;
 Condensed Matter  Statistical Mechanics;
 High Energy Physics  Theory
 EPrint:
 33 pages, 8 figures, 3 tables