2002/12/31 by Nahomi Kan, Kiyoshi Shiraishi
Physics and Astronomy · #Black Holes and Theoretical Physics #Constant (computer programming) #Construct (python library) #Cosmological constant #Cosmology #Cosmology and Gravitation Theories #Dark energy #Dimension (graph theory) #Energy (signal processing) #Galaxies: Formation, Evolution, Phenomena #Graviton #Vacuum energy #astro-ph #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1088/0264-9381/20/23/001
published as Class.Quant.Grav. 20 (2003) 4965-4972 · 10 pages, No figure. Needs REVTeX4. citations are corrected and minor corrections
arxiv created 2003/01/24 · openalex publication_date 2003/10/20 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Beginning with the Pauli–Fierz theory, we construct a model for multi-graviton theory. Couplings between gravitons belonging to nearest-neighbour 'theory spaces' lead to a discrete mass spectrum. Our model coincides with the Kaluza–Klein theory whose fifth dimension is latticized. We evaluate one-loop vacuum energy in models with a circular latticized extra dimension as well as with compact continuous dimensions. We find that the vacuum energy can take a positive value, if the dimension of the continuous spacetime is 6, 10, .... Moreover, since the amount of vacuum energy can be an arbitrary small value depending on the choice of parameters in the model, our models are useful for explaining the small positive dark energy in the present universe.