Multi-graviton theory, a latticized dimension, and the cosmological constant

Details Multi-graviton theory, a latticized dimension, and the cosmological constant Multi-graviton theory, a latticized dimension, and the cosmological constant

2002-12-27

arxiv.org/abs/gr-qc/0212113v2

Class.Quant.Grav. 20 (2003) 4965-4972

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, No figure. Needs REVTeX4. citations are corrected and minor corrections

Scientific paper

10.1088/0264-9381/20/23/001

Beginning with the Pauli-Fierz theory, we construct a model for multi-graviton theory. Couplings between gravitons belonging to nearest-neighbor ``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 space time is $6, 10,...$. Moreover, since the amount of the vacuum energy can be an arbitrary small value according to the choice of parameters in the model, our models is useful to explain the small positive dark energy in the present universe.

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