%0 Journal Article %1 Kanamori:2007ye %A Kanamori, Issaku %A Suzuki, Hiroshi %A Sugino, Fumihiko %D 2008 %J Phys. Rev. %K Lattice LatticeSusy SQM SpontaneausSusyBreaking Supersymmetry %P 091502 %R 10.1103/PhysRevD.77.091502 %T Euclidean lattice simulation for the dynamical supersymmetry breaking %U http://www.slac.stanford.edu/spires/find/hep/www?eprint=arXiv:0711.2099 %V D77 %X Abstract: The global supersymmetry is spontaneously broken if and only if the ground-state energy is strictly positive. We propose to use this fact to observe the spontaneous supersymmetry breaking in euclidean lattice simulations. For lattice formulations that possess a manifest fermionic symmetry, there exists a natural choice of a hamiltonian operator that is consistent with a topological property of the Witten index. We confirm validity of our idea in models of the supersymmetric quantum mechanics. We then examine a possibility of a dynamical supersymmetry breaking in the two-dimensional $N=(2,2)$ super Yang-Mills theory with the gauge group $\SU(2)$, for which the Witten index is unknown. Differently from a recent conjectural claim, our numerical result tempts us to conclude that supersymmetry is not spontaneously broken in this system.

@article{Kanamori:2007ye, abstract = { Abstract: The global supersymmetry is spontaneously broken if and only if the ground-state energy is strictly positive. We propose to use this fact to observe the spontaneous supersymmetry breaking in euclidean lattice simulations. For lattice formulations that possess a manifest fermionic symmetry, there exists a natural choice of a hamiltonian operator that is consistent with a topological property of the Witten index. We confirm validity of our idea in models of the supersymmetric quantum mechanics. We then examine a possibility of a dynamical supersymmetry breaking in the two-dimensional $\mathcal{N}=(2,2)$ super Yang-Mills theory with the gauge group $\SU(2)$, for which the Witten index is unknown. Differently from a recent conjectural claim, our numerical result tempts us to conclude that supersymmetry is not spontaneously broken in this system. }, added-at = {2009-04-25T13:24:26.000+0200}, archiveprefix = {arXiv}, author = {Kanamori, Issaku and Suzuki, Hiroshi and Sugino, Fumihiko}, biburl = {https://www.bibsonomy.org/bibtex/24eb21693a3555b6ece90e4fde1a6b674/gber}, description = {SPIRES-HEP: FIND EPRINT ARXIV:0711.2099}, doi = {10.1103/PhysRevD.77.091502}, eprint = {0711.2099}, interhash = {8b85350bdca11646017fe7f938117be4}, intrahash = {4eb21693a3555b6ece90e4fde1a6b674}, journal = {Phys. Rev.}, keywords = {Lattice LatticeSusy SQM SpontaneausSusyBreaking Supersymmetry}, pages = 091502, primaryclass = {hep-lat}, slaccitation = {%%CITATION = 0711.2099;%%}, timestamp = {2009-04-25T13:24:26.000+0200}, title = {{Euclidean lattice simulation for the dynamical supersymmetry breaking}}, url = {http://www.slac.stanford.edu/spires/find/hep/www?eprint=arXiv:0711.2099}, volume = {D77}, year = 2008 }