Functional Renormalization Group analysis of a Tensorial Group Field Theory on R3

被引：47

作者：

Ben Geloun, Joseph ^{[1
,3
]}

Martini, Riccardo ^{[1
,2
]}

Oriti, Daniele ^{[1
]}

机构：

[1] Max Planck Inst Gravitat Phys, Albert Einstein Inst, D-14476 Potsdam, Germany

[2] Univ Bologna, Alma Mater Studiorum, I-40126 Bologna, Italy

[3] ICMPA UNESCO, Int Chair Math Phys & Applicat, Cotonou, Benin

来源：

EPL | 2015年 / 112卷 / 03期

关键词：

QUANTUM-GRAVITY; MODELS;

D O I：

10.1209/0295-5075/112/31001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study a model of Tensorial Group Field Theory (TGFT) on R-3 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 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. Copyright (C) EPLA, 2015

引用

页数：6

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[1] 3-DIMENSIONAL SIMPLICIAL QUANTUM-GRAVITY AND GENERALIZED MATRIX MODELS [J].