Supersymmetric quantum mechanics on the lattice: II. Exact results

Baumgartner, David; Wenger, Urs (2015). Supersymmetric quantum mechanics on the lattice: II. Exact results. Nuclear physics. B, 897, pp. 39-76. North Holland 10.1016/j.nuclphysb.2015.05.010

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Simulations of supersymmetric field theories with spontaneously broken supersymmetry require in addition to the ultraviolet regularisation also an infrared one, due to the emergence of the massless Goldstino. The intricate interplay between ultraviolet and infrared effects towards the continuum and infinite volume limit demands careful investigations to avoid potential problems. In this paper – the second in a series of three – we present such an investigation for N=2 supersymmetric quantum mechanics formulated on the lattice in terms of bosonic and fermionic bonds. In one dimension, the bond formulation allows to solve the system exactly, even at finite lattice spacing, through the construction and analysis of transfer matrices. In the present paper we elaborate on this approach and discuss a range of exact results for observables such as the Witten index, the mass spectra and Ward identities.

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:

31 Aug 2015 17:07

Last Modified:

31 Aug 2015 17:07

Publisher DOI:

10.1016/j.nuclphysb.2015.05.010

BORIS DOI:

10.7892/boris.71420

URI:

https://boris.unibe.ch/id/eprint/71420

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