Planar Quantum Mechanics: an Intriguing Supersymmetric Example

G. Veneziano; J. Wosiek

doi:10.1088/1126-6708/2006/01/156

Planar Quantum Mechanics: an Intriguing Supersymmetric Example

高能物理 - 理论 2011-07-28 v2

作者: G. Veneziano , J. Wosiek

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摘要

After setting up a Hamiltonian formulation of planar (matrix) quantum mechanics, we illustrate its effectiveness in a non-trivial supersymmetric example. The numerical and analytical study of two sectors of the model, as a function of 't Hooft's coupling $\lambda$ , reveals both a phase transition at $\lambda=1$ (disappearence of the mass gap and discontinuous jump in Witten's index) and a new form of strong-weak duality for $\lambda \to 1/\lambda$ .

关键词

integrable hamiltonian systems hamiltonian mechanics quantum hamiltonian simulation and dynamics

引用

@article{arxiv.hep-th/0512301,
  title  = {Planar Quantum Mechanics: an Intriguing Supersymmetric Example},
  author = {G. Veneziano and J. Wosiek},
  journal= {arXiv preprint arXiv:hep-th/0512301},
  year   = {2011}
}

备注

14 pages, 3 .eps figures (1 figure, 2 acknowledgements added, typos corrected)

Planar Quantum Mechanics: an Intriguing Supersymmetric Example

摘要

关键词

引用

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