Volume 112, Number 3, November 2015
|Number of page(s)||6|
|Section||The Physics of Elementary Particles and Fields|
|Published online||18 November 2015|
Functional Renormalization Group analysis of a Tensorial Group Field Theory on
1 Max Planck Institute for Gravitational Physics, Albert Einstein Institute - Am Mühlenberg 1, 14476, Potsdam, Germany
2 Alma Mater Studiorum, Università di Bologna - via Zamboni 33, 40126, Bologna, Italy
3 International Chair in Mathematical Physics and Applications, ICMPA-UNESCO Chair - 072BP50, Cotonou, Benin
Received: 15 August 2015
Accepted: 29 October 2015
We study a model of Tensorial Group Field Theory (TGFT) on from the point of view of the Functional Renormalization Group (FRG). This is the first attempt to apply a renormalization procedure to a TGFT model defined over a non-compact group manifold. IR divergences (with respect to the metric on ) 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.
PACS: 11.10.Gh – Renormalization / 05.10.Cc – Renormalization group methods / 04.60.-m – Quantum gravity
© EPLA, 2015
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