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arXiv · 1701.03029

Flowing to the continuum in discrete tensor models for quantum gravity

Astrid Eichhorn·Tim Koslowski
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Abstract

Tensor models provide a way to access the path-integral for discretized quantum gravity in d dimensions. As in the case of matrix models for two-dimensional quantum gravity, the continuum limit can be related to a Renormalization Group fixed point in a setup where the tensor size N serves as the Renormalization Group scale. We develop functional Renormalization Group tools for tensor models with a main focus on a rank-3 model for three-dimensional quantum gravity. We rediscover the double-scaling limit and provide an estimate for the scaling exponent. Moreover, we identify two additional fixed points with a second relevant direction in a truncation of the Renormalization Group flow. The new relevant direction might hint at the presence of additional degrees of freedom in the corresponding continuum limit.

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Astrid Eichhorn, Tim Koslowski. 2017-01-11. Flowing to the continuum in discrete tensor models for quantum gravity. https://arxiv.org/abs/1701.03029

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