Supersymmetric quantum mechanics on the lattice: II. Exact results


Autoria(s): Baumgartner, David; Wenger, Urs
Data(s)

21/05/2015

Resumo

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.

Formato

application/pdf

Identificador

http://boris.unibe.ch/71420/1/1-s2.0-S0550321315001704-main.pdf

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 <http://dx.doi.org/10.1016/j.nuclphysb.2015.05.010>

doi:10.7892/boris.71420

info:doi:10.1016/j.nuclphysb.2015.05.010

urn:issn:0550-3213

Idioma(s)

eng

Publicador

North Holland

Relação

http://boris.unibe.ch/71420/

Direitos

info:eu-repo/semantics/openAccess

Fonte

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 <http://dx.doi.org/10.1016/j.nuclphysb.2015.05.010>

Palavras-Chave #530 Physics
Tipo

info:eu-repo/semantics/article

info:eu-repo/semantics/publishedVersion

PeerReviewed