1998/08/19 by M. Kamela, Martin Kamela, C. P. Burgess · 1 citation
Physics and Astronomy · #Anti-de Sitter space #Black Holes and Theoretical Physics #Classical mechanics #Cosmological constant #Cosmology and Gravitation Theories #De Sitter space #De Sitter universe #Duality (order theory) #Epistemology #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Scalar (mathematics) #Scalar field #Simple (philosophy) #Theoretical physics #Universe #gr-qc #hep-th
paper · pdf · doi:10.1139/cjp-77-2-85
published as Can.J.Phys. 77 (1999) 85-99 · 23 pages, plain TeX, one figure
arxiv created 1998/08/19 · openalex publication_date 1999/01/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Closed forms are derived for the effective actions for free, massive spinless fields in anti-de Sitter space-times in arbitrary dimensions. The results have simple expressions in terms of elementary functions (for odd dimensions) or multiple Gamma functions (for even dimensions). We use these to argue against the quantum validity of Cruz' recently proposed duality relating such theories with differing masses and cosmological constants.PACS Nos. 11.10- z, 11.90+ t, and 04.60-m.