supersymmetric quantum mechanics on the lattice: i. loop formulation

Clicks: 173
ID: 177585
2015
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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.
Reference Key
baumgartner2015nuclearsupersymmetric Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;David Baumgartner;Urs Wenger
Journal biology and fertility of soils
Year 2015
DOI
10.1016/j.nuclphysb.2015.03.001
URL
http://www.sciencedirect.com/science/article/pii/S0550321315000838
Keywords
radioactivity atomic energy nuclear and particle physics

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