Approximations for strongly-coupled supersymmetric quantum mechanics

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dc.creatorKabat, Daniel
dc.creatorLifschytz, Gilad
dc.date1999-10-01
dc.date2000-01-05
dc.date.accessioned2026-07-07T11:36:25Z
dc.date.available2026-07-07T11:36:25Z
dc.descriptionWe advocate a set of approximations for studying the finite temperature behavior of strongly-coupled theories in 0+1 dimensions. The approximation consists of expanding about a Gaussian action, with the width of the Gaussian determined by a set of gap equations. The approximation can be applied to supersymmetric systems, provided that the gap equations are formulated in superspace. It can be applied to large-N theories, by keeping just the planar contribution to the gap equations. We analyze several models of scalar supersymmetric quantum mechanics, and show that the Gaussian approximation correctly distinguishes between a moduli space, mass gap, and supersymmetry breaking at strong coupling. Then we apply the approximation to a bosonic large-N gauge theory, and argue that a Gross-Witten transition separates the weak-coupling and strong-coupling regimes. A similar transition should occur in a generic large-N gauge theory, in particular in 0-brane quantum mechanics.
dc.descriptionLaTeX, 46 pages, 7 eps figures. v2: added references
dc.identifierhttps://arxiv.org/abs/hep-th/9910001
dc.identifierhttp://arxiv.org/abs/hep-th/9910001
dc.identifierNucl.Phys.B571:419-456,2000
dc.identifierdoi:10.1016/S0550-3213(99)00818-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/198914
dc.subjectHigh Energy Physics - Theory
dc.titleApproximations for strongly-coupled supersymmetric quantum mechanics
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