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arXiv · 1508.01855

Functional Renormalisation Group analysis of a Tensorial Group Field Theory on $\mathbb{R}^3$

Joseph Ben Geloun·Riccardo Martini·Daniele Oriti
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Abstract

We study a model of Tensorial Group Field Theory (TGFT) on $\mathbb{R}^3$ from the point of view of the Functional Renormalisation Group. This is the first attempt to apply a renormalisation procedure to a TGFT model defined over a non-compact group manifold. IR divergences (with respect to the metric on $\mathbb{R}$) coming from the non-compactness of the group are regularised via compactification, and a thermodynamic limit is then taken. We identify then IR and UV fixed points of the RG flow and find strong hints of a phase transition of the TGFT system from a symmetric to a broken or condensate phase in the IR.

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Joseph Ben Geloun, Riccardo Martini, Daniele Oriti. 2015-08-08. Functional Renormalisation Group analysis of a Tensorial Group Field Theory on $\mathbb{R}^3$. https://doi.org/10.1209/0295-5075%2F112%2F31001

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