Large N behavior of two dimensional supersymmetric Yang-Mills quantum mechanics

dc.creatorTrzetrzelewski, Maciej
dc.date2006-08-21
dc.date2006-08-23
dc.date.accessioned2026-07-07T11:07:07Z
dc.date.available2026-07-07T11:07:07Z
dc.descriptionWe analyze the $N \to \infty $ limit of supersymmetric Yang-Mills quantum mechanics (SYMQM) in two spacetime dimensions. To do so we introduce a particular class of SU(N) invariant polynomials and give the solutions of 2D SYMQM in terms of them. We conclude that in this limit the system is not fully described by the single trace operators $Tr({a^{\dagger}}^n)$ since there are other, bilinear operators $Tr^n(a^{\dagger}a^{\dagger})$ that play a crucial role when the hamiltonian is free.
dc.description24 pages, 3 figures, v2:Minor changes on on page 13 and in Appendix D
dc.identifierhttps://arxiv.org/abs/hep-th/0608147
dc.identifierhttp://arxiv.org/abs/hep-th/0608147
dc.identifierJ.Math.Phys.48:012302,2007
dc.identifierdoi:10.1063/1.2408399
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189736
dc.subjectHigh Energy Physics - Theory
dc.titleLarge N behavior of two dimensional supersymmetric Yang-Mills quantum mechanics
dc.typetext

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