Group field theory formulation of 3d quantum gravity coupled to matter fields

2006/02/02 by Daniele Oriti, James Ryan · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #gr-qc

paper · pdf · doi:10.1088/0264-9381/23/22/027

published as Class.Quant.Grav. 23 (2006) 6543-6576 · RevTeX; 28 pages, 21 figures

arxiv created 2006/02/02 · openalex publication_date 2006/10/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

We present a new group field theory describing 3d Riemannian quantum gravity coupled to matter fields for any choice of spin and mass. The perturbative expansion of the partition function produces fat graphs colored with SU(2) algebraic data, from which one can reconstruct at once a 3-dimensional simplicial complex representing spacetime and its geometry, like in the Ponzano-Regge formulation of pure 3d quantum gravity, and the Feynman graphs for the matter fields. The model then assigns quantum amplitudes to these fat graphs given by spin foam models for gravity coupled to interacting massive spinning point particles, whose properties we discuss.

Cited by

• Interacting Scalar Field Cosmology from Full Quantum Gravity
• Group field theory for quantum gravity minimally coupled to a scalar field
• Causality and matter propagation in 3D spin foam quantum gravity
• Emergence of scalar matter from spin foam model

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