We construct the d=2 Wess-Zumino model and the d=4N=2 supersymmetric gauge theory on the lattice, in the hamiltonian formalism. The models have the correct tree level continuum limit. Using the Kähler-Dirac formalism, we show that on the lattice a full cubic symmetry is preserved. A strong coupling calculation shows the possibility of spontaneous breaking of supersymmetry for the d=2 model.
Description
ScienceDirect - Physics Letters B : Supersymmetric models on the lattice
%0 Journal Article
%1 Elitzur1982165
%A Elitzur, S.
%A Rabinovici, E.
%A Schwimmer, A.
%D 1982
%J Physics Letters B
%K D2 D4 DiracKaehler HamiltoneanLatticeStrongCoupling Lattice LatticeSusy N2 SYM WessZuminoModel
%N 1-3
%P 165 - 170
%R DOI: 10.1016/0370-2693(82)90269-6
%T Supersymmetric models on the lattice
%U http://www.sciencedirect.com/science/article/B6TVN-472JJRJ-7S/2/4b034f72e4f0f41d28b32db40f024cc8
%V 119
%X We construct the d=2 Wess-Zumino model and the d=4N=2 supersymmetric gauge theory on the lattice, in the hamiltonian formalism. The models have the correct tree level continuum limit. Using the Kähler-Dirac formalism, we show that on the lattice a full cubic symmetry is preserved. A strong coupling calculation shows the possibility of spontaneous breaking of supersymmetry for the d=2 model.
@article{Elitzur1982165,
abstract = {We construct the d=2 Wess-Zumino model and the d=4N=2 supersymmetric gauge theory on the lattice, in the hamiltonian formalism. The models have the correct tree level continuum limit. Using the Kähler-Dirac formalism, we show that on the lattice a full cubic symmetry is preserved. A strong coupling calculation shows the possibility of spontaneous breaking of supersymmetry for the d=2 model.},
added-at = {2009-03-22T16:16:29.000+0100},
author = {Elitzur, S. and Rabinovici, E. and Schwimmer, A.},
biburl = {https://www.bibsonomy.org/bibtex/238c7ffee85003195977a6120e28b3b71/gber},
description = {ScienceDirect - Physics Letters B : Supersymmetric models on the lattice},
doi = {DOI: 10.1016/0370-2693(82)90269-6},
interhash = {8e45bbe43f9dbf80e563c2aeb922ed22},
intrahash = {38c7ffee85003195977a6120e28b3b71},
issn = {0370-2693},
journal = {Physics Letters B},
keywords = {D2 D4 DiracKaehler HamiltoneanLatticeStrongCoupling Lattice LatticeSusy N2 SYM WessZuminoModel},
number = {1-3},
pages = {165 - 170},
timestamp = {2009-03-22T16:16:29.000+0100},
title = {Supersymmetric models on the lattice},
url = {http://www.sciencedirect.com/science/article/B6TVN-472JJRJ-7S/2/4b034f72e4f0f41d28b32db40f024cc8},
volume = 119,
year = 1982
}