Discrete Spectrum of the Graviton in the $AdS^5$ Black Hole Background

dc.creatorBrower, Richard C.
dc.creatorMathur, Samir D.
dc.creatorTan, Chung-I
dc.date1999-08-30
dc.date.accessioned2026-07-07T11:36:25Z
dc.date.available2026-07-07T11:36:25Z
dc.descriptionThe discrete spectrum of fluctuations of the metric about an $AdS^5$ black hole background are found. These modes are the strong coupling limit of so called glueball states in a dual 3-d Yang-Mills theory with quantum numbers $J^{PC} = 2^{++}, 1^{-+}, 0^{++}$. For the ground state modes, we find the mass relation: $m(0^{++}) < m(2^{++}) < m(1^{-+})$. Contrary to expectation, the mass of our new $0^{++}$ state ($m^2=5.4573$) associated with the graviton is smaller than the mass of the $0^{++}$ state ($m^2=11.588$) from the dilaton. In fact the dilatonic excitations are exactly degenerate with our tensor $2^{++}$ states. We find that variational methods gives remarkably accurate mass estimates for all three low-lying levels while a WKB treatment describes the higher modes well.
dc.descriptionharvmac, 30 pages, i eps-file
dc.identifierhttps://arxiv.org/abs/hep-th/9908196
dc.identifierhttp://arxiv.org/abs/hep-th/9908196
dc.identifierNucl.Phys.B574:219-244,2000
dc.identifierdoi:10.1016/S0550-3213(99)00802-0
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/198913
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Lattice
dc.titleDiscrete Spectrum of the Graviton in the $AdS^5$ Black Hole Background
dc.typetext

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