Euclidean lattice simulation for dynamical supersymmetry breaking

Issaku Kanamori, Hiroshi Suzuki, Fumihiko Sugino

Research output: Contribution to journalArticlepeer-review

37 Citations (Scopus)

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.

Original languageEnglish
Article number091502
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume77
Issue number9
DOIs
Publication statusPublished - May 12 2008
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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