Planar Quantum Mechanics: an Intriguing Supersymmetric Example

Details Planar Quantum Mechanics: an Intriguing Supersymmetric Example Planar Quantum Mechanics: an Intriguing Supersymmetric Example

2005-12-23

arxiv.org/abs/hep-th/0512301v2

JHEP 0601:156,2006

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/1126-6708/2006/01/156

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 $\lambda \to 1/\lambda$.

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