Discrete spectrum of the graviton in the AdS(5) black hole background

Citation
Rc. Brower et al., Discrete spectrum of the graviton in the AdS(5) black hole background, NUCL PHYS B, 574(1-2), 2000, pp. 219-244
Citations number
28
Categorie Soggetti
Physics
Journal title
NUCLEAR PHYSICS B
ISSN journal
05503213 → ACNP
Volume
574
Issue
1-2
Year of publication
2000
Pages
219 - 244
Database
ISI
SICI code
0550-3213(20000515)574:1-2<219:DSOTGI>2.0.ZU;2-K
Abstract
The discrete spectrum of fluctuations of the metric about an AdS(5) black h ole background are found. These modes are the strong coupling limit of so-c alled 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 r elation m(0(++)) < m(2(++)) < m(1(-+)). Contrary to expectation, the mass o f our new 0(++) state (m(2) = 5.4573) associated with the graviton is small er than the mass of the 0(++) state (m(2) = 11.588) from the dilaton. In fa ct the dilatonic excitations are exactly degenerate with our tensor 2(++) s tates. We find that variational methods gives remarkably accurate mass esti mates for all three low-lying levels while a WKB treatment describes the hi gher modes well. (C) 2000 Elsevier Science B.V. All rights reserved.