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arXiv · 1407.0284

The Tensor Theory Space

Vincent Rivasseau
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Abstract

The tensor track is a background-independent discretization of quantum gravity which includes a sum over all topologies. We discuss how to define a functional renormalization group flow and the Wetterich equation in the corresponding theory space. This space is different from the Einsteinian theory space of asymptotic safety. It includes all fixed-rank tensor-invariant interactions, hence generalizes matrix models and the (Moyal) non-commutative field theory space.

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Vincent Rivasseau. 2014-07-01. The Tensor Theory Space. https://doi.org/10.1002/prop.201400057

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