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arXiv · 1005.3088

A renormalization procedure for tensor models and scalar-tensor theories of gravity

Naoki Sasakura
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Abstract

Tensor models are more-index generalizations of the so-called matrix models, and provide models of quantum gravity with the idea that spaces and general relativity are emergent phenomena. In this paper, a renormalization procedure for the tensor models whose dynamical variable is a totally symmetric real three-tensor is discussed. It is proven that configurations with certain Gaussian forms are the attractors of the three-tensor under the renormalization procedure. Since these Gaussian configurations are parameterized by a scalar and a symmetric two-tensor, it is argued that, in general situations, the infrared dynamics of the tensor models should be described by scalar-tensor theories of gravity.

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Naoki Sasakura. 2010-05-18. A renormalization procedure for tensor models and scalar-tensor theories of gravity. https://doi.org/10.1142/s0217751x10050433

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