Planar quantum mechanics: an intriguing supersymmetric example | Zendy

G. Veneziano | Zendy; J. Wosiek | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Planar quantum mechanics: an intriguing supersymmetric example

Author(s) -

G. Veneziano,

J. Wosiek

Publication year - 2006

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2006/01/156

Subject(s) - mass gap , jump , planar , supersymmetric quantum mechanics , duality (order theory) , hamiltonian (control theory) , physics , theoretical physics , quantum , quantum mechanics , mathematical physics , classical mechanics , quantum statistical mechanics , mathematics , pure mathematics , computer science , mathematical optimization , computer graphics (images)

After setting up a Hamiltonian formulation of planar (matrix) quantummechanics, we illustrate its effectiveness in a non-trivial supersymmetricexample. The numerical and analytical study of two sectors of the model, as afunction of 't Hooft's coupling $\lambda$, reveals both a phase transition at$\lambda=1$ (disappearence of the mass gap and discontinuous jump in Witten'sindex) and a new form of strong-weak duality for $\lambda \to 1/\lambda$.Comment: 14 pages, 3 .eps figures (1 figure, 2 acknowledgements added, typos corrected

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research