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2015

Constructive Tensorial Group Field Theory I: The $U(1)-T^4_3$ Model

Lahoche, Vincent

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The Loop Vertex Expansion (LVE) is a constructive technique using canonical combinatorial tools.

It works well for quantum field theories without renormalization, which is the case of the field theory studied in this paper.
Tensorial Group Field Theories (TGFT) are a new class of field theories proposed to quantize gravity.
This paper is devoted to a very simple TGFT for rank three tensors with U(1)group and quartic interactions, hence nicknamed $U(1)$-$T^4_3$.

Constructive Tensorial Group Field Theory I: The $U(1)-T^4_3$ Model · Around

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J. Ben Geloun, R. Martini and D. Oriti, “Functional Renormalisation Group analysis of a Tensorial Group Field Theory on ℝ 3 \mathbb{R}^{3} ,” arXiv:1508.01855 [hep-th]

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