Euclidean lattice simulation for the dynamical supersymmetry breaking

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dc.creatorKanamori, Issaku
dc.creatorSugino, Fumihiko
dc.creatorSuzuki, Hiroshi
dc.date2007-11-14
dc.date2008-05-23
dc.date.accessioned2026-07-07T11:38:42Z
dc.date.available2026-07-07T11:38:42Z
dc.descriptionThe 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.
dc.description5 pages, 4 figures, the final version to appear in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/0711.2099
dc.identifierhttp://arxiv.org/abs/0711.2099
dc.identifierPhys.Rev.D77:091502,2008
dc.identifierdoi:10.1103/PhysRevD.77.091502
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199658
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.titleEuclidean lattice simulation for the dynamical supersymmetry breaking
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