The fluctuation spectra around a Gaussian classical solution of a tensor model and the general relativity

Details The fluctuation spectra around a Gaussian classical solution of a tensor model and the general relativity The fluctuation spectra around a Gaussian classical solution of a tensor model and the general relativity

2007-06-12

arxiv.org/abs/0706.1618v1

Int.J.Mod.Phys.A23:693-718,2008

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, 13 figures

Scientific paper

10.1142/S0217751X08038536

Tensor models can be interpreted as theory of dynamical fuzzy spaces. In this paper, I study numerically the fluctuation spectra around a Gaussian classical solution of a tensor model, which represents a fuzzy flat space in arbitrary dimensions. It is found that the momentum distribution of the low-lying low-momentum spectra is in agreement with that of the metric tensor modulo the general coordinate transformation in the general relativity at least in the dimensions studied numerically, i.e. one to four dimensions. This result suggests that the effective field theory around the solution is described in a similar manner as the general relativity.

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