Low-dimensional supersymmetric lattice models

G Bergner, T Kaestner, S Uhlmann, A Wipf - Annals of Physics, 2008 - Elsevier
We study and simulate N= 2 supersymmetric Wess–Zumino models in one and two
dimensions. For any choice of the lattice derivative, the theories can be made manifestly …

Hamiltonian Monte Carlo study of (1+ 1)-dimensional models with restricted supersymmetry on the lattice

J Ranft, A Schiller - Physics Letters B, 1984 - Elsevier
Lattice versions with restricted supersymmetry of simple (1+ 1)-dimensional supersymmetric
models are numerically studied using a local hamiltonian Monte Carlo method. The pattern …

Two-dimensional Wess-Zumino models at intermediate couplings

T Kaestner, G Bergner, S Uhlmann, A Wipf… - Physical Review D …, 2008 - APS
We consider the two-dimensional N=(2, 2) Wess-Zumino model with a cubic superpotential
at weak and intermediate couplings. Refined algorithms allow for the extraction of reliable …

Supersymmetry breaking in two dimensions: The lattice Wess-Zumino model

M Beccaria, M Campostrini, A Feo - Physical Review D, 2004 - APS
We study dynamical supersymmetry breaking by nonperturbative lattice techniques in a
class of two-dimensional N= 1 Wess-Zumino models. We work in the Hamiltonian formalism …

Supersymmetry on the lattice and the Leibniz rule

K Fujikawa - Nuclear Physics B, 2002 - Elsevier
The major obstacle to a supersymmetric theory on the lattice is the failure of the Leibniz rule.
We analyze this issue by using the Wess–Zumino model and a general Ginsparg–Wilson …

A two-dimensional lattice model with exact supersymmetry

S Catterall, S Karamov - Nuclear Physics B-Proceedings Supplements, 2002 - Elsevier
Starting from a simple discrete model which exhibits a supersymmetric invariance we
construct a local, interacting, two-dimensional Euclidean lattice theory which also admits an …

Supersymmetry breaking in low dimensional models

C Wozar, A Wipf - Annals of Physics, 2012 - Elsevier
We analyse supersymmetric models that show supersymmetry breaking in one and two
dimensions using lattice methods. Starting from supersymmetric quantum mechanics, we …

Exact lattice supersymmetry: The two-dimensional Wess-Zumino model

S Catterall, S Karamov - Physical Review D, 2002 - APS
We study the two-dimensional Wess-Zumino model with extended N= 2 supersymmetry on
the lattice. The lattice prescription we choose has the merit of preserving exactly a single …

Supersymmetry on the lattice

A Feo - Nuclear Physics B-Proceedings Supplements, 2003 - Elsevier
Supersymmetry on the lattice Page 1 SUPPLEMENTS ELSEVIER Nuclear Physics J3 (Proc.
Suppl.) 119 (2003) 198-209 www.elscvier.com/locdte/npc Supersymmetry on the lattice …

Wess-Zumino model with exact supersymmetry on the lattice

M Bonini, A Feo - Journal of High Energy Physics, 2004 - iopscience.iop.org
A lattice formulation of the four dimensional Wess-Zumino model that uses Ginsparg-Wilson
fermions and keeps exact supersymmetry is presented. The supersymmetry transformation …