Published January 2006 | Version v1
Journal article Metadata-only

Planar quantum mechanics: an intriguing supersymmetric example

Creators

  • 1. College de France, 11 place M. Berthelot, 75005 Paris (France)
  • 2. Theory Division, CERN, CH-1211 Geneva 23 (Switzerland)
  • 3. M. Smoluchowski Institute of Physics, Jagellonian University, Reymonta 4, 30-059 Cracow (Poland)

Description

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, reveals both a phase transition at λ = 1 (disappearence of the mass gap and discontinuous jump in Witten's index) and a new form of strong-weak duality for λ→1/λ

Availability note (English)

Available online at http://stacks.iop.org/1126-6708/2006/i=01/a=156/jhep012006156.pdf or at the Web site for the Journal of High Energy Physics (ISSN 1029-8479) http://www.iop.org/

Additional details

Identifiers

URL
http://stacks.iop.org/1126-6708/2006/i=01/a=156/jhep012006156.pdf;
DOI
10.1088/1126-6708/2006/01/156;

Publishing Information

Journal Title
Journal of High Energy Physics
Journal Volume
2006
Journal Issue
01
Journal Page Range
p. 156
ISSN
1126-6708

INIS

Country of Publication
Italy
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
37051622
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
COUPLING; DUALITY; HAMILTONIANS; MASS; PHASE TRANSFORMATIONS; QUANTUM MECHANICS; SUPERSYMMETRY
Descriptors DEC
MATHEMATICAL OPERATORS; MECHANICS; QUANTUM OPERATORS; SYMMETRY