Planar Quantum Mechanics: an Intriguing Supersymmetric Example

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 tra...

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Detalles Bibliográficos
Autores principales: Veneziano, G., Wosiek, J.
Lenguaje:eng
Publicado: 2005
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1088/1126-6708/2006/01/156
http://cds.cern.ch/record/918761
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author Veneziano, G.
Wosiek, J.
author_facet Veneziano, G.
Wosiek, J.
author_sort Veneziano, G.
collection CERN
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 $\lambda$, 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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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2005
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spelling cern-9187612023-03-14T17:17:44Zdoi:10.1088/1126-6708/2006/01/156http://cds.cern.ch/record/918761engVeneziano, G.Wosiek, J.Planar Quantum Mechanics: an Intriguing Supersymmetric ExampleParticle Physics - TheoryAfter 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 $\lambda \to 1/\lambda$.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 $\lambda \to 1/\lambda$.hep-th/0512301CERN-PH-TH-2005-269TPJU-9-2005CERN-PH-TH-2005-269TPJU-2005-9oai:cds.cern.ch:9187612005-12-23
spellingShingle Particle Physics - Theory
Veneziano, G.
Wosiek, J.
Planar Quantum Mechanics: an Intriguing Supersymmetric Example
title Planar Quantum Mechanics: an Intriguing Supersymmetric Example
title_full Planar Quantum Mechanics: an Intriguing Supersymmetric Example
title_fullStr Planar Quantum Mechanics: an Intriguing Supersymmetric Example
title_full_unstemmed Planar Quantum Mechanics: an Intriguing Supersymmetric Example
title_short Planar Quantum Mechanics: an Intriguing Supersymmetric Example
title_sort planar quantum mechanics: an intriguing supersymmetric example
topic Particle Physics - Theory
url https://dx.doi.org/10.1088/1126-6708/2006/01/156
http://cds.cern.ch/record/918761
work_keys_str_mv AT venezianog planarquantummechanicsanintriguingsupersymmetricexample
AT wosiekj planarquantummechanicsanintriguingsupersymmetricexample

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