Work

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

Year: 2015

Type: article

Abstract: 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.

Source: Europhysics Letters (EPL)

DOI: 10.1209/0295-5075/112/31001

Authors: Joseph Ben Geloun, Riccardo Martini, Daniele Oriti

Institutions: UNESCO, Max Planck Society, Max Planck Institute for Gravitational Physics, University of Bologna

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Università di Bologna, Agencia Estatal de Investigación

OpenAlex ID: W1896803414

FWCI: 4.785

Cites: 55

Cited by: 70

Related to: 10