Planar quantum mechanics: An Intriguing supersymmetric example

Dec, 2005
14 pages
Published in:
  • JHEP 01 (2006) 156
e-Print:
Report number:
  • CERN-PH-TH-2005-269,
  • TPJU-9-2005

Citations per year

2006200920122015201802468
Abstract: (arXiv)
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 λ\lambda, reveals both a phase transition at λ=1\lambda=1 (disappearence of the mass gap and discontinuous jump in Witten's index) and a new form of strong-weak duality for λ1/λ\lambda \to 1/\lambda.
  • quantum mechanics: planar
  • supersymmetry
  • Hamiltonian formalism
  • matrix model
  • quantization
  • field equations: solution
  • duality
  • numerical calculations