Supersymmetric quantum mechanics on the lattice: I. Loop formulation

Baumgartner, David; Wenger, Urs (2015). Supersymmetric quantum mechanics on the lattice: I. Loop formulation. Nuclear physics. B, 894, pp. 223-253. North Holland 10.1016/j.nuclphysb.2015.03.001

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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.

Item Type:

Journal Article (Original Article)

Division/Institute:

10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Baumgartner, David and Wenger, Urs

Subjects:

500 Science > 530 Physics

ISSN:

0550-3213

Publisher:

North Holland

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

27 Mar 2015 09:40

Last Modified:

27 Mar 2015 09:40

Publisher DOI:

10.1016/j.nuclphysb.2015.03.001

BORIS DOI:

10.7892/boris.65350

URI:

https://boris.unibe.ch/id/eprint/65350

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