Supersymmetric quantum mechanics on the lattice: I. Loop formulation
High Energy Physics - Lattice
2015-09-07 v2 Statistical Mechanics
High Energy Physics - Theory
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.
Cite
@article{arxiv.1412.5393,
title = {Supersymmetric quantum mechanics on the lattice: I. Loop formulation},
author = {David Baumgartner and Urs Wenger},
journal= {arXiv preprint arXiv:1412.5393},
year = {2015}
}
Comments
33 pages, 8 figures, 3 tables; typos in text, eq.(107) and table 3 corrected